Let's look at and example: 4x + 8x = 48.
Since there is two of the same variable on the same side, we can add them together, as they are the same. So 8 + 4 = 12.
So it looks like this: 12x = 48
Now in order to work out the answer, we have to isolate the x on one side of the equation. The easiest way to do this is not to move the variable, but to move the number attached to it. In this case, it is the 12. In any case, if a number is attached to a variable, it means that the number attached, is meant to be multiplied by the variable.
12 multiplied by x = 48
Since we are moving the 12, we have to make it's sign opposite, since it is multiplying by the variable, to make it opposite we have to make it 12 dividing by.
x = 48 divided by 12.
48/12 = 4
x = 4.
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Yes, you can have the same variable on both sides of an equation. This often occurs in equations where you need to isolate the variable or solve for it. However, when simplifying or manipulating the equation, you can combine like terms or move the variable to one side to find its value. Ultimately, the goal is to find a solution that satisfies the equation.
-- You select an operation. -- You apply the same operation to each side of the equation. -- You keep doing both steps until the equation says (the variable) = (the value of the variable)
To solve equations with variables on both sides, first isolate the variable by moving all terms involving the variable to one side of the equation and constant terms to the other side. This can be done by adding or subtracting terms as necessary. Once the variable is isolated, simplify the equation if needed and solve for the variable. Finally, check your solution by substituting it back into the original equation.
The basic rules to solve equations are to isolate the variable on one side of the equation by performing the same operation on both sides. This includes adding or subtracting the same value, multiplying or dividing by the same value, and applying exponent or logarithm rules if necessary. The goal is to simplify the equation until the variable is alone on one side and the solution can be determined.
To solve one-variable equations, isolate the variable on one side of the equation using algebraic operations. You can do this by adding, subtracting, multiplying, or dividing both sides of the equation by the same number, ensuring to maintain the equality. Simplify both sides as needed, and check your solution by substituting it back into the original equation to verify that both sides are equal.
Algebraically manipulate the equation until you have the indicated variable on one side of the equation and all of the other factors on the other side.
-- You select an operation. -- You apply the same operation to each side of the equation. -- You keep doing both steps until the equation says (the variable) = (the value of the variable)
You cannot solve a single linear equation with two variables. At best you can express one variable in terms of the other.
To solve equations with variables on both sides, first isolate the variable by moving all terms involving the variable to one side of the equation and constant terms to the other side. This can be done by adding or subtracting terms as necessary. Once the variable is isolated, simplify the equation if needed and solve for the variable. Finally, check your solution by substituting it back into the original equation.
The basic rules to solve equations are to isolate the variable on one side of the equation by performing the same operation on both sides. This includes adding or subtracting the same value, multiplying or dividing by the same value, and applying exponent or logarithm rules if necessary. The goal is to simplify the equation until the variable is alone on one side and the solution can be determined.
When you have a negative variable in an equation that you are trying to solve for, you multiply each side of the equation by -1. If it is an inequality such as <, you would flip the sign to > and vice versa.
A two-step equation is an equation that requires two steps to solve We must eliminate any constant that is on the same side as the variable first To solve, use the inverse operations to isolate the variable by itself Remember whatever you do to one side, you must do to the other
To solve one-variable equations, isolate the variable on one side of the equation using algebraic operations. You can do this by adding, subtracting, multiplying, or dividing both sides of the equation by the same number, ensuring to maintain the equality. Simplify both sides as needed, and check your solution by substituting it back into the original equation to verify that both sides are equal.
isolate the variable
When you solve a one-variable equation, your goal is to isolate the variable.To isolate the variable means to make it be alone on one side of the equals sign.In the equation shown here, you can isolate the variable by subtracting 9 from both sides of the equation and simplifying
It means that you manipulate the equation in such a way that the variable appears only on one side, by itself.
NO!