2x+5-x=7+3x-6

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Solution for 2x+5-x=7+3x-6 equation:


Simplifying
2x + 5 + -1x = 7 + 3x + -6

Reorder the terms:
5 + 2x + -1x = 7 + 3x + -6

Combine like terms: 2x + -1x = 1x
5 + 1x = 7 + 3x + -6

Reorder the terms:
5 + 1x = 7 + -6 + 3x

Combine like terms: 7 + -6 = 1
5 + 1x = 1 + 3x

Solving
5 + 1x = 1 + 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.
5 + 1x + -3x = 1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
5 + -2x = 1 + 0
5 + -2x = 1

Add '-5' to each side of the equation.
5 + -5 + -2x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 1 + -5
-2x = 1 + -5

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

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

Simplifying
x = 2

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