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

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Solution for -2(x-3)+1=-3(-x+7)+2 equation:


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

Reorder the terms:
-2(-3 + x) + 1 = -3(-1x + 7) + 2
(-3 * -2 + x * -2) + 1 = -3(-1x + 7) + 2
(6 + -2x) + 1 = -3(-1x + 7) + 2

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

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

Reorder the terms:
7 + -2x = -3(7 + -1x) + 2
7 + -2x = (7 * -3 + -1x * -3) + 2
7 + -2x = (-21 + 3x) + 2

Reorder the terms:
7 + -2x = -21 + 2 + 3x

Combine like terms: -21 + 2 = -19
7 + -2x = -19 + 3x

Solving
7 + -2x = -19 + 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 = -19 + 3x + -3x

Combine like terms: -2x + -3x = -5x
7 + -5x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -5x = -19 + 0
7 + -5x = -19

Add '-7' to each side of the equation.
7 + -7 + -5x = -19 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -19 + -7
-5x = -19 + -7

Combine like terms: -19 + -7 = -26
-5x = -26

Divide each side by '-5'.
x = 5.2

Simplifying
x = 5.2

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