-(3x-7)+1=2(7-2x)-13

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Solution for -(3x-7)+1=2(7-2x)-13 equation:


Simplifying
-1(3x + -7) + 1 = 2(7 + -2x) + -13

Reorder the terms:
-1(-7 + 3x) + 1 = 2(7 + -2x) + -13
(-7 * -1 + 3x * -1) + 1 = 2(7 + -2x) + -13
(7 + -3x) + 1 = 2(7 + -2x) + -13

Reorder the terms:
7 + 1 + -3x = 2(7 + -2x) + -13

Combine like terms: 7 + 1 = 8
8 + -3x = 2(7 + -2x) + -13
8 + -3x = (7 * 2 + -2x * 2) + -13
8 + -3x = (14 + -4x) + -13

Reorder the terms:
8 + -3x = 14 + -13 + -4x

Combine like terms: 14 + -13 = 1
8 + -3x = 1 + -4x

Solving
8 + -3x = 1 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
8 + -3x + 4x = 1 + -4x + 4x

Combine like terms: -3x + 4x = 1x
8 + 1x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 1x = 1 + 0
8 + 1x = 1

Add '-8' to each side of the equation.
8 + -8 + 1x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 1 + -8
1x = 1 + -8

Combine like terms: 1 + -8 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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