2x-8=-x+7

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Solution for 2x-8=-x+7 equation:


Simplifying
2x + -8 = -1x + 7

Reorder the terms:
-8 + 2x = -1x + 7

Reorder the terms:
-8 + 2x = 7 + -1x

Solving
-8 + 2x = 7 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-8 + 2x + x = 7 + -1x + x

Combine like terms: 2x + x = 3x
-8 + 3x = 7 + -1x + x

Combine like terms: -1x + x = 0
-8 + 3x = 7 + 0
-8 + 3x = 7

Add '8' to each side of the equation.
-8 + 8 + 3x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 7 + 8
3x = 7 + 8

Combine like terms: 7 + 8 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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