2(x-6)-4(x+2)=-6

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Solution for 2(x-6)-4(x+2)=-6 equation: 


Simplifying
2(x + -6) + -4(x + 2) = -6

Reorder the terms:
2(-6 + x) + -4(x + 2) = -6
(-6 * 2 + x * 2) + -4(x + 2) = -6
(-12 + 2x) + -4(x + 2) = -6

Reorder the terms:
-12 + 2x + -4(2 + x) = -6
-12 + 2x + (2 * -4 + x * -4) = -6
-12 + 2x + (-8 + -4x) = -6

Reorder the terms:
-12 + -8 + 2x + -4x = -6

Combine like terms: -12 + -8 = -20
-20 + 2x + -4x = -6

Combine like terms: 2x + -4x = -2x
-20 + -2x = -6

Solving
-20 + -2x = -6

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + -2x = -6 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = -6 + 20
-2x = -6 + 20

Combine like terms: -6 + 20 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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