-7(2x-8)=-3x-32

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Solution for -7(2x-8)=-3x-32 equation:


Simplifying
-7(2x + -8) = -3x + -32

Reorder the terms:
-7(-8 + 2x) = -3x + -32
(-8 * -7 + 2x * -7) = -3x + -32
(56 + -14x) = -3x + -32

Reorder the terms:
56 + -14x = -32 + -3x

Solving
56 + -14x = -32 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
56 + -14x + 3x = -32 + -3x + 3x

Combine like terms: -14x + 3x = -11x
56 + -11x = -32 + -3x + 3x

Combine like terms: -3x + 3x = 0
56 + -11x = -32 + 0
56 + -11x = -32

Add '-56' to each side of the equation.
56 + -56 + -11x = -32 + -56

Combine like terms: 56 + -56 = 0
0 + -11x = -32 + -56
-11x = -32 + -56

Combine like terms: -32 + -56 = -88
-11x = -88

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

Simplifying
x = 8

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