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

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


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

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

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

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

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

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

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

Combine like terms: -2x + 2x = 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 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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