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

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


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

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

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

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

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

Solving
7 + 1x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + 1x + -3x = 3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
7 + -2x = 3 + 0
7 + -2x = 3

Add '-7' to each side of the equation.
7 + -7 + -2x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 3 + -7
-2x = 3 + -7

Combine like terms: 3 + -7 = -4
-2x = -4

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

Simplifying
x = 2

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