5x+7-x=8+5x-7

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


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

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

Combine like terms: 5x + -1x = 4x
7 + 4x = 8 + 5x + -7

Reorder the terms:
7 + 4x = 8 + -7 + 5x

Combine like terms: 8 + -7 = 1
7 + 4x = 1 + 5x

Solving
7 + 4x = 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.
7 + 4x + -5x = 1 + 5x + -5x

Combine like terms: 4x + -5x = -1x
7 + -1x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -1x = 1 + 0
7 + -1x = 1

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

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

Combine like terms: 1 + -7 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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