6(x-8)=-2x-32

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Solution for 6(x-8)=-2x-32 equation: 


Simplifying
6(x + -8) = -2x + -32

Reorder the terms:
6(-8 + x) = -2x + -32
(-8 * 6 + x * 6) = -2x + -32
(-48 + 6x) = -2x + -32

Reorder the terms:
-48 + 6x = -32 + -2x

Solving
-48 + 6x = -32 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-48 + 6x + 2x = -32 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-48 + 8x = -32 + -2x + 2x

Combine like terms: -2x + 2x = 0
-48 + 8x = -32 + 0
-48 + 8x = -32

Add '48' to each side of the equation.
-48 + 48 + 8x = -32 + 48

Combine like terms: -48 + 48 = 0
0 + 8x = -32 + 48
8x = -32 + 48

Combine like terms: -32 + 48 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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