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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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Q: How do you solve an equation with two of the same variable on the same side?

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-- 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)

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.

It means that you manipulate the equation in such a way that the variable appears only on one side, by itself.

3n=36 Write the equation n=12 Divide each side of the equation by 3 to get the variable alone.

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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.

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

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.

It's not always to 'solve' as it is to 'simplify' EX: 15a + 3b = 45c simplifies to 5a + b = 15c

That depends on the equation. In general, you'll try to isolate the variable, by using operations (on both sides of the equation) that get rid of anything other than the variable, on the side the variable is on.

3n=36 Write the equation n=12 Divide each side of the equation by 3 to get the variable alone.