-2(x-6)+56x=-7(-8x+1)-3x

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Solution for -2(x-6)+56x=-7(-8x+1)-3x equation:


Simplifying
-2(x + -6) + 56x = -7(-8x + 1) + -3x

Reorder the terms:
-2(-6 + x) + 56x = -7(-8x + 1) + -3x
(-6 * -2 + x * -2) + 56x = -7(-8x + 1) + -3x
(12 + -2x) + 56x = -7(-8x + 1) + -3x

Combine like terms: -2x + 56x = 54x
12 + 54x = -7(-8x + 1) + -3x

Reorder the terms:
12 + 54x = -7(1 + -8x) + -3x
12 + 54x = (1 * -7 + -8x * -7) + -3x
12 + 54x = (-7 + 56x) + -3x

Combine like terms: 56x + -3x = 53x
12 + 54x = -7 + 53x

Solving
12 + 54x = -7 + 53x

Solving for variable 'x'.

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

Add '-53x' to each side of the equation.
12 + 54x + -53x = -7 + 53x + -53x

Combine like terms: 54x + -53x = 1x
12 + 1x = -7 + 53x + -53x

Combine like terms: 53x + -53x = 0
12 + 1x = -7 + 0
12 + 1x = -7

Add '-12' to each side of the equation.
12 + -12 + 1x = -7 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = -7 + -12
1x = -7 + -12

Combine like terms: -7 + -12 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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