-5(2x-6)=2(x-12)-46

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Solution for -5(2x-6)=2(x-12)-46 equation: 


Simplifying
-5(2x + -6) = 2(x + -12) + -46

Reorder the terms:
-5(-6 + 2x) = 2(x + -12) + -46
(-6 * -5 + 2x * -5) = 2(x + -12) + -46
(30 + -10x) = 2(x + -12) + -46

Reorder the terms:
30 + -10x = 2(-12 + x) + -46
30 + -10x = (-12 * 2 + x * 2) + -46
30 + -10x = (-24 + 2x) + -46

Reorder the terms:
30 + -10x = -24 + -46 + 2x

Combine like terms: -24 + -46 = -70
30 + -10x = -70 + 2x

Solving
30 + -10x = -70 + 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.
30 + -10x + -2x = -70 + 2x + -2x

Combine like terms: -10x + -2x = -12x
30 + -12x = -70 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + -12x = -70 + 0
30 + -12x = -70

Add '-30' to each side of the equation.
30 + -30 + -12x = -70 + -30

Combine like terms: 30 + -30 = 0
0 + -12x = -70 + -30
-12x = -70 + -30

Combine like terms: -70 + -30 = -100
-12x = -100

Divide each side by '-12'.
x = 8.333333333

Simplifying
x = 8.333333333

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