6(x-6)-8(x+2)=-16

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Solution for 6(x-6)-8(x+2)=-16 equation: 


Simplifying
6(x + -6) + -8(x + 2) = -16

Reorder the terms:
6(-6 + x) + -8(x + 2) = -16
(-6 * 6 + x * 6) + -8(x + 2) = -16
(-36 + 6x) + -8(x + 2) = -16

Reorder the terms:
-36 + 6x + -8(2 + x) = -16
-36 + 6x + (2 * -8 + x * -8) = -16
-36 + 6x + (-16 + -8x) = -16

Reorder the terms:
-36 + -16 + 6x + -8x = -16

Combine like terms: -36 + -16 = -52
-52 + 6x + -8x = -16

Combine like terms: 6x + -8x = -2x
-52 + -2x = -16

Solving
-52 + -2x = -16

Solving for variable 'x'.

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

Add '52' to each side of the equation.
-52 + 52 + -2x = -16 + 52

Combine like terms: -52 + 52 = 0
0 + -2x = -16 + 52
-2x = -16 + 52

Combine like terms: -16 + 52 = 36
-2x = 36

Divide each side by '-2'.
x = -18

Simplifying
x = -18

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