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

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


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

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

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

Reorder the terms:
-12 + -24 + 2x + -6x = 12

Combine like terms: -12 + -24 = -36
-36 + 2x + -6x = 12

Combine like terms: 2x + -6x = -4x
-36 + -4x = 12

Solving
-36 + -4x = 12

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + -4x = 12 + 36

Combine like terms: -36 + 36 = 0
0 + -4x = 12 + 36
-4x = 12 + 36

Combine like terms: 12 + 36 = 48
-4x = 48

Divide each side by '-4'.
x = -12

Simplifying
x = -12

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