-12(x-5)=5(x+4)-62

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Solution for -12(x-5)=5(x+4)-62 equation: 


Simplifying
-12(x + -5) = 5(x + 4) + -62

Reorder the terms:
-12(-5 + x) = 5(x + 4) + -62
(-5 * -12 + x * -12) = 5(x + 4) + -62
(60 + -12x) = 5(x + 4) + -62

Reorder the terms:
60 + -12x = 5(4 + x) + -62
60 + -12x = (4 * 5 + x * 5) + -62
60 + -12x = (20 + 5x) + -62

Reorder the terms:
60 + -12x = 20 + -62 + 5x

Combine like terms: 20 + -62 = -42
60 + -12x = -42 + 5x

Solving
60 + -12x = -42 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
60 + -12x + -5x = -42 + 5x + -5x

Combine like terms: -12x + -5x = -17x
60 + -17x = -42 + 5x + -5x

Combine like terms: 5x + -5x = 0
60 + -17x = -42 + 0
60 + -17x = -42

Add '-60' to each side of the equation.
60 + -60 + -17x = -42 + -60

Combine like terms: 60 + -60 = 0
0 + -17x = -42 + -60
-17x = -42 + -60

Combine like terms: -42 + -60 = -102
-17x = -102

Divide each side by '-17'.
x = 6

Simplifying
x = 6

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