-5(2x-3)=2(x-9)-39

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Solution for -5(2x-3)=2(x-9)-39 equation: 


Simplifying
-5(2x + -3) = 2(x + -9) + -39

Reorder the terms:
-5(-3 + 2x) = 2(x + -9) + -39
(-3 * -5 + 2x * -5) = 2(x + -9) + -39
(15 + -10x) = 2(x + -9) + -39

Reorder the terms:
15 + -10x = 2(-9 + x) + -39
15 + -10x = (-9 * 2 + x * 2) + -39
15 + -10x = (-18 + 2x) + -39

Reorder the terms:
15 + -10x = -18 + -39 + 2x

Combine like terms: -18 + -39 = -57
15 + -10x = -57 + 2x

Solving
15 + -10x = -57 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -10x + -2x = -57 + 2x + -2x

Combine like terms: -10x + -2x = -12x
15 + -12x = -57 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -12x = -57 + 0
15 + -12x = -57

Add '-15' to each side of the equation.
15 + -15 + -12x = -57 + -15

Combine like terms: 15 + -15 = 0
0 + -12x = -57 + -15
-12x = -57 + -15

Combine like terms: -57 + -15 = -72
-12x = -72

Divide each side by '-12'.
x = 6

Simplifying
x = 6

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