5x-3-x+8=2x-7

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Solution for 5x-3-x+8=2x-7 equation:


Simplifying
5x + -3 + -1x + 8 = 2x + -7

Reorder the terms:
-3 + 8 + 5x + -1x = 2x + -7

Combine like terms: -3 + 8 = 5
5 + 5x + -1x = 2x + -7

Combine like terms: 5x + -1x = 4x
5 + 4x = 2x + -7

Reorder the terms:
5 + 4x = -7 + 2x

Solving
5 + 4x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 4x + -2x = -7 + 2x + -2x

Combine like terms: 4x + -2x = 2x
5 + 2x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 2x = -7 + 0
5 + 2x = -7

Add '-5' to each side of the equation.
5 + -5 + 2x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = -7 + -5
2x = -7 + -5

Combine like terms: -7 + -5 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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