-8(6x-6)+7(7x-4)-8=2-7

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Solution for -8(6x-6)+7(7x-4)-8=2-7 equation: 


Simplifying
-8(6x + -6) + 7(7x + -4) + -8 = 2 + -7

Reorder the terms:
-8(-6 + 6x) + 7(7x + -4) + -8 = 2 + -7
(-6 * -8 + 6x * -8) + 7(7x + -4) + -8 = 2 + -7
(48 + -48x) + 7(7x + -4) + -8 = 2 + -7

Reorder the terms:
48 + -48x + 7(-4 + 7x) + -8 = 2 + -7
48 + -48x + (-4 * 7 + 7x * 7) + -8 = 2 + -7
48 + -48x + (-28 + 49x) + -8 = 2 + -7

Reorder the terms:
48 + -28 + -8 + -48x + 49x = 2 + -7

Combine like terms: 48 + -28 = 20
20 + -8 + -48x + 49x = 2 + -7

Combine like terms: 20 + -8 = 12
12 + -48x + 49x = 2 + -7

Combine like terms: -48x + 49x = 1x
12 + 1x = 2 + -7

Combine like terms: 2 + -7 = -5
12 + 1x = -5

Solving
12 + 1x = -5

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 1x = -5 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = -5 + -12
1x = -5 + -12

Combine like terms: -5 + -12 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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