-2(x-7)-8=3(1-4x)-7

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Solution for -2(x-7)-8=3(1-4x)-7 equation:


Simplifying
-2(x + -7) + -8 = 3(1 + -4x) + -7

Reorder the terms:
-2(-7 + x) + -8 = 3(1 + -4x) + -7
(-7 * -2 + x * -2) + -8 = 3(1 + -4x) + -7
(14 + -2x) + -8 = 3(1 + -4x) + -7

Reorder the terms:
14 + -8 + -2x = 3(1 + -4x) + -7

Combine like terms: 14 + -8 = 6
6 + -2x = 3(1 + -4x) + -7
6 + -2x = (1 * 3 + -4x * 3) + -7
6 + -2x = (3 + -12x) + -7

Reorder the terms:
6 + -2x = 3 + -7 + -12x

Combine like terms: 3 + -7 = -4
6 + -2x = -4 + -12x

Solving
6 + -2x = -4 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
6 + -2x + 12x = -4 + -12x + 12x

Combine like terms: -2x + 12x = 10x
6 + 10x = -4 + -12x + 12x

Combine like terms: -12x + 12x = 0
6 + 10x = -4 + 0
6 + 10x = -4

Add '-6' to each side of the equation.
6 + -6 + 10x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = -4 + -6
10x = -4 + -6

Combine like terms: -4 + -6 = -10
10x = -10

Divide each side by '10'.
x = -1

Simplifying
x = -1

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