2x+7-2=3x-6+8

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Solution for 2x+7-2=3x-6+8 equation:


Simplifying
2x + 7 + -2 = 3x + -6 + 8

Reorder the terms:
7 + -2 + 2x = 3x + -6 + 8

Combine like terms: 7 + -2 = 5
5 + 2x = 3x + -6 + 8

Reorder the terms:
5 + 2x = -6 + 8 + 3x

Combine like terms: -6 + 8 = 2
5 + 2x = 2 + 3x

Solving
5 + 2x = 2 + 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 + 2x + -3x = 2 + 3x + -3x

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

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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