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

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


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

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

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

Reorder the terms:
1 + 7x = -4 + -4 + 8x

Combine like terms: -4 + -4 = -8
1 + 7x = -8 + 8x

Solving
1 + 7x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
1 + 7x + -8x = -8 + 8x + -8x

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

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

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

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

Combine like terms: -8 + -1 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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