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Question 25455: 2(x+3)-3(x+5)=13
Answer by bacos(9)   (Show Source):
You can put this solution on YOUR website! Simplifying
2(x + 3) + -3(x + 5) = 13
Reorder the terms:
2(3 + x) + -3(x + 5) = 13
(3 * 2 + x * 2) + -3(x + 5) = 13
(6 + 2x) + -3(x + 5) = 13
Reorder the terms:
6 + 2x + -3(5 + x) = 13
6 + 2x + (5 * -3 + x * -3) = 13
6 + 2x + (-15 + -3x) = 13
Reorder the terms:
6 + -15 + 2x + -3x = 13
Combine like terms: 6 + -15 = -9
-9 + 2x + -3x = 13
Combine like terms: 2x + -3x = -1x
-9 + -1x = 13
Solving
-9 + -1x = 13
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + -1x = 13 + 9
Combine like terms: -9 + 9 = 0
0 + -1x = 13 + 9
-1x = 13 + 9
Combine like terms: 13 + 9 = 22
-1x = 22
Divide each side by '-1'.
x = -22
Simplifying
x = -22
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