4(-7x+8)=-12(3x+4)-8

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Solution for 4(-7x+8)=-12(3x+4)-8 equation:


Simplifying
4(-7x + 8) = -12(3x + 4) + -8

Reorder the terms:
4(8 + -7x) = -12(3x + 4) + -8
(8 * 4 + -7x * 4) = -12(3x + 4) + -8
(32 + -28x) = -12(3x + 4) + -8

Reorder the terms:
32 + -28x = -12(4 + 3x) + -8
32 + -28x = (4 * -12 + 3x * -12) + -8
32 + -28x = (-48 + -36x) + -8

Reorder the terms:
32 + -28x = -48 + -8 + -36x

Combine like terms: -48 + -8 = -56
32 + -28x = -56 + -36x

Solving
32 + -28x = -56 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
32 + -28x + 36x = -56 + -36x + 36x

Combine like terms: -28x + 36x = 8x
32 + 8x = -56 + -36x + 36x

Combine like terms: -36x + 36x = 0
32 + 8x = -56 + 0
32 + 8x = -56

Add '-32' to each side of the equation.
32 + -32 + 8x = -56 + -32

Combine like terms: 32 + -32 = 0
0 + 8x = -56 + -32
8x = -56 + -32

Combine like terms: -56 + -32 = -88
8x = -88

Divide each side by '8'.
x = -11

Simplifying
x = -11

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