-2+12(x+5)=12(9-2x)+11x

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Solution for -2+12(x+5)=12(9-2x)+11x equation: 


Simplifying
-2 + 12(x + 5) = 12(9 + -2x) + 11x

Reorder the terms:
-2 + 12(5 + x) = 12(9 + -2x) + 11x
-2 + (5 * 12 + x * 12) = 12(9 + -2x) + 11x
-2 + (60 + 12x) = 12(9 + -2x) + 11x

Combine like terms: -2 + 60 = 58
58 + 12x = 12(9 + -2x) + 11x
58 + 12x = (9 * 12 + -2x * 12) + 11x
58 + 12x = (108 + -24x) + 11x

Combine like terms: -24x + 11x = -13x
58 + 12x = 108 + -13x

Solving
58 + 12x = 108 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
58 + 12x + 13x = 108 + -13x + 13x

Combine like terms: 12x + 13x = 25x
58 + 25x = 108 + -13x + 13x

Combine like terms: -13x + 13x = 0
58 + 25x = 108 + 0
58 + 25x = 108

Add '-58' to each side of the equation.
58 + -58 + 25x = 108 + -58

Combine like terms: 58 + -58 = 0
0 + 25x = 108 + -58
25x = 108 + -58

Combine like terms: 108 + -58 = 50
25x = 50

Divide each side by '25'.
x = 2

Simplifying
x = 2

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