-5-3(2x-12)=3(2x+6)-10

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Solution for -5-3(2x-12)=3(2x+6)-10 equation: 


Simplifying
-5 + -3(2x + -12) = 3(2x + 6) + -10

Reorder the terms:
-5 + -3(-12 + 2x) = 3(2x + 6) + -10
-5 + (-12 * -3 + 2x * -3) = 3(2x + 6) + -10
-5 + (36 + -6x) = 3(2x + 6) + -10

Combine like terms: -5 + 36 = 31
31 + -6x = 3(2x + 6) + -10

Reorder the terms:
31 + -6x = 3(6 + 2x) + -10
31 + -6x = (6 * 3 + 2x * 3) + -10
31 + -6x = (18 + 6x) + -10

Reorder the terms:
31 + -6x = 18 + -10 + 6x

Combine like terms: 18 + -10 = 8
31 + -6x = 8 + 6x

Solving
31 + -6x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
31 + -6x + -6x = 8 + 6x + -6x

Combine like terms: -6x + -6x = -12x
31 + -12x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
31 + -12x = 8 + 0
31 + -12x = 8

Add '-31' to each side of the equation.
31 + -31 + -12x = 8 + -31

Combine like terms: 31 + -31 = 0
0 + -12x = 8 + -31
-12x = 8 + -31

Combine like terms: 8 + -31 = -23
-12x = -23

Divide each side by '-12'.
x = 1.916666667

Simplifying
x = 1.916666667

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