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

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


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

Reorder the terms:
7 + -4(-8 + 2x) = -3(4x + 3)
7 + (-8 * -4 + 2x * -4) = -3(4x + 3)
7 + (32 + -8x) = -3(4x + 3)

Combine like terms: 7 + 32 = 39
39 + -8x = -3(4x + 3)

Reorder the terms:
39 + -8x = -3(3 + 4x)
39 + -8x = (3 * -3 + 4x * -3)
39 + -8x = (-9 + -12x)

Solving
39 + -8x = -9 + -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.
39 + -8x + 12x = -9 + -12x + 12x

Combine like terms: -8x + 12x = 4x
39 + 4x = -9 + -12x + 12x

Combine like terms: -12x + 12x = 0
39 + 4x = -9 + 0
39 + 4x = -9

Add '-39' to each side of the equation.
39 + -39 + 4x = -9 + -39

Combine like terms: 39 + -39 = 0
0 + 4x = -9 + -39
4x = -9 + -39

Combine like terms: -9 + -39 = -48
4x = -48

Divide each side by '4'.
x = -12

Simplifying
x = -12

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