3(2x-8)-5(6x+8)=12

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Solution for 3(2x-8)-5(6x+8)=12 equation: 


Simplifying
3(2x + -8) + -5(6x + 8) = 12

Reorder the terms:
3(-8 + 2x) + -5(6x + 8) = 12
(-8 * 3 + 2x * 3) + -5(6x + 8) = 12
(-24 + 6x) + -5(6x + 8) = 12

Reorder the terms:
-24 + 6x + -5(8 + 6x) = 12
-24 + 6x + (8 * -5 + 6x * -5) = 12
-24 + 6x + (-40 + -30x) = 12

Reorder the terms:
-24 + -40 + 6x + -30x = 12

Combine like terms: -24 + -40 = -64
-64 + 6x + -30x = 12

Combine like terms: 6x + -30x = -24x
-64 + -24x = 12

Solving
-64 + -24x = 12

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + -24x = 12 + 64

Combine like terms: -64 + 64 = 0
0 + -24x = 12 + 64
-24x = 12 + 64

Combine like terms: 12 + 64 = 76
-24x = 76

Divide each side by '-24'.
x = -3.166666667

Simplifying
x = -3.166666667

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