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

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


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

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

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

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

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

Solving
7 + 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.
7 + 2x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
7 + -1x = 2 + 0
7 + -1x = 2

Add '-7' to each side of the equation.
7 + -7 + -1x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 2 + -7
-1x = 2 + -7

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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