-7(4x-4)-5=3x-39

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Solution for -7(4x-4)-5=3x-39 equation:


Simplifying
-7(4x + -4) + -5 = 3x + -39

Reorder the terms:
-7(-4 + 4x) + -5 = 3x + -39
(-4 * -7 + 4x * -7) + -5 = 3x + -39
(28 + -28x) + -5 = 3x + -39

Reorder the terms:
28 + -5 + -28x = 3x + -39

Combine like terms: 28 + -5 = 23
23 + -28x = 3x + -39

Reorder the terms:
23 + -28x = -39 + 3x

Solving
23 + -28x = -39 + 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.
23 + -28x + -3x = -39 + 3x + -3x

Combine like terms: -28x + -3x = -31x
23 + -31x = -39 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 + -31x = -39 + 0
23 + -31x = -39

Add '-23' to each side of the equation.
23 + -23 + -31x = -39 + -23

Combine like terms: 23 + -23 = 0
0 + -31x = -39 + -23
-31x = -39 + -23

Combine like terms: -39 + -23 = -62
-31x = -62

Divide each side by '-31'.
x = 2

Simplifying
x = 2

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