4(x-6)-6(x+2)=-8

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Solution for 4(x-6)-6(x+2)=-8 equation: 


Simplifying
4(x + -6) + -6(x + 2) = -8

Reorder the terms:
4(-6 + x) + -6(x + 2) = -8
(-6 * 4 + x * 4) + -6(x + 2) = -8
(-24 + 4x) + -6(x + 2) = -8

Reorder the terms:
-24 + 4x + -6(2 + x) = -8
-24 + 4x + (2 * -6 + x * -6) = -8
-24 + 4x + (-12 + -6x) = -8

Reorder the terms:
-24 + -12 + 4x + -6x = -8

Combine like terms: -24 + -12 = -36
-36 + 4x + -6x = -8

Combine like terms: 4x + -6x = -2x
-36 + -2x = -8

Solving
-36 + -2x = -8

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 + -2x = -8 + 36

Combine like terms: -36 + 36 = 0
0 + -2x = -8 + 36
-2x = -8 + 36

Combine like terms: -8 + 36 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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