5 is subtracted from both sides of the equation. x + 5 = 15: x+5 (-5) = 15 (-5);
when you subtract 5 on the left side of the equal sign the +5 (-5) cancel each other out to equal 0; when you do something to one side of the equal sign you must do the same thing to the other side; so subtract 5 from 15, and you are left with x + 0 = 10
which is x = 10.
When solving for x, you want to end up with x all alone on one side of the equal sign. You have to subtract (or add) the total sum on the x side to both sides of the equal sign.
5 Additional Examples when solving for x:
x + 7 = 13: you have to subtract 7 from both sides of the equal sign
x + 7 (-7) = 13 (-7) so x = 6
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x + 2 + 4 = 20: you have to subtract 2 and 4 from both sides of the equal sign
x + 2 + 4 (- 2) (- 4) = 20 (-2) (-4), so x = 14
a shortcut would be to subtract 6 from both sides of the equal sign since 2+4=6
x + 2 + 4 (-6) = 20 (-6) so x = 14
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x - 3 = 18: you have to add 3 to both sides of the equal sign
x - 3 (+3) = 18 (+3) so x = 21
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x - 5 - 4 = 17: you have to add 5 and 4 to both sides of the equal sign
x - 5 - 4 (+5) (+4) = 17 (+5) (+4), so x = 26
a shortcut would be to add 9 to both sides of the equal sign since -4 - 5 = -9
x - 5 - 4 (+9) = 17 (+9) so x = 26
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x + 7 - 3 = 19: you have to subtract 7 and add 3 to both sides of the equal sign
x + 7 - 3 (-7) (+3) = 19 (-7) (+3) so x = 15
a shortcut would be to subtract 4 from both sides of the equal sign since 7 - 3 = 4
x + 7 - 3 (-4) = 19 (-4) so x = 15
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I hope this helps you understand. You do not have to use the parentheses when adding or subtracting on either side of the equal sign. I just used them to make it easier to read.
-40
If x + 51 equals 17, then x must be negative. (If we are going to add 51 to some number and only get 17, an number less than 51, then we had to start at a negative number for this to happen.) Let's work through this one.x + 51 = 17x = 17 - 51 (we subtracted 51 from both sides of the equation)x = -34 (we have arrived at the answer)
5/12
If we call the number that we're looking for "x", then we can translate the question like this:When 15 is subtracted from 7x, the result equals 2x + 10Or:7x - 15 = 2x + 10Then it's a simple matter of simplifying the equation. Group like terms on either side of the equal operator:7x - 2x = 10 + 15Then add them together:5x = 25And factor five out of both sides:x = 5Giving you the answer.
Subtract 1 form both sides of the equation
The property is: If equals are subtracted from equals, the results are equal.
-40
Any number can be subtracted. To reduce the fraction, you need to divide. In this case, 2 can be taken out. 34/54 = 17/27
20
If you are solving for y, it is fine. If you are solving for x, divide both sides by x and the equation should be x = y/x
from another wikianswers page: say that 'a' is rational, and that 'b' is irrational. assume that a + b equals a rational number, called c. so a + b = c subtract a from both sides. you get b = c - a. but c - a is a rational number subtracted from a rational number, which should equal another rational number. However, b is an irrational number in our equation, so our assumption that a + b equals a rational number must be wrong.
If x + 51 equals 17, then x must be negative. (If we are going to add 51 to some number and only get 17, an number less than 51, then we had to start at a negative number for this to happen.) Let's work through this one.x + 51 = 17x = 17 - 51 (we subtracted 51 from both sides of the equation)x = -34 (we have arrived at the answer)
5/12
It is called solving by elimination.
If we call the number that we're looking for "x", then we can translate the question like this:When 15 is subtracted from 7x, the result equals 2x + 10Or:7x - 15 = 2x + 10Then it's a simple matter of simplifying the equation. Group like terms on either side of the equal operator:7x - 2x = 10 + 15Then add them together:5x = 25And factor five out of both sides:x = 5Giving you the answer.
Subtract 1 form both sides of the equation
This is the rule of addition which states that if equals are added to equals, the sum is equal. It also applies to subtraction. The rule of multiplication is similar: if equals are multiplied by equals , the result is equal. It also applies to division. These are the basic rules of algebra ; In fact that is what algebra means, from the Arabic "al jabr" : what is done to one side, if done to the other, nothing is changed.