2x+9-x=8+5x-7

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Solution for 2x+9-x=8+5x-7 equation:


Simplifying
2x + 9 + -1x = 8 + 5x + -7

Reorder the terms:
9 + 2x + -1x = 8 + 5x + -7

Combine like terms: 2x + -1x = 1x
9 + 1x = 8 + 5x + -7

Reorder the terms:
9 + 1x = 8 + -7 + 5x

Combine like terms: 8 + -7 = 1
9 + 1x = 1 + 5x

Solving
9 + 1x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 1x + -5x = 1 + 5x + -5x

Combine like terms: 1x + -5x = -4x
9 + -4x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -4x = 1 + 0
9 + -4x = 1

Add '-9' to each side of the equation.
9 + -9 + -4x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 1 + -9
-4x = 1 + -9

Combine like terms: 1 + -9 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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