4(x-6)-6(x+2)=-16

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Solution for 4(x-6)-6(x+2)=-16 equation: 


Simplifying
4(x + -6) + -6(x + 2) = -16

Reorder the terms:
4(-6 + x) + -6(x + 2) = -16
(-6 * 4 + x * 4) + -6(x + 2) = -16
(-24 + 4x) + -6(x + 2) = -16

Reorder the terms:
-24 + 4x + -6(2 + x) = -16
-24 + 4x + (2 * -6 + x * -6) = -16
-24 + 4x + (-12 + -6x) = -16

Reorder the terms:
-24 + -12 + 4x + -6x = -16

Combine like terms: -24 + -12 = -36
-36 + 4x + -6x = -16

Combine like terms: 4x + -6x = -2x
-36 + -2x = -16

Solving
-36 + -2x = -16

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 = -16 + 36

Combine like terms: -36 + 36 = 0
0 + -2x = -16 + 36
-2x = -16 + 36

Combine like terms: -16 + 36 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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