-6(x-4)=(3x-39)

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Solution for -6(x-4)=(3x-39) equation:


Simplifying
-6(x + -4) = (3x + -39)

Reorder the terms:
-6(-4 + x) = (3x + -39)
(-4 * -6 + x * -6) = (3x + -39)
(24 + -6x) = (3x + -39)

Reorder the terms:
24 + -6x = (-39 + 3x)

Remove parenthesis around (-39 + 3x)
24 + -6x = -39 + 3x

Solving
24 + -6x = -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.
24 + -6x + -3x = -39 + 3x + -3x

Combine like terms: -6x + -3x = -9x
24 + -9x = -39 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -9x = -39 + 0
24 + -9x = -39

Add '-24' to each side of the equation.
24 + -24 + -9x = -39 + -24

Combine like terms: 24 + -24 = 0
0 + -9x = -39 + -24
-9x = -39 + -24

Combine like terms: -39 + -24 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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