-3(x-8)=8(-x-2)

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Solution for -3(x-8)=8(-x-2) equation:


Simplifying
-3(x + -8) = 8(-1x + -2)

Reorder the terms:
-3(-8 + x) = 8(-1x + -2)
(-8 * -3 + x * -3) = 8(-1x + -2)
(24 + -3x) = 8(-1x + -2)

Reorder the terms:
24 + -3x = 8(-2 + -1x)
24 + -3x = (-2 * 8 + -1x * 8)
24 + -3x = (-16 + -8x)

Solving
24 + -3x = -16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
24 + -3x + 8x = -16 + -8x + 8x

Combine like terms: -3x + 8x = 5x
24 + 5x = -16 + -8x + 8x

Combine like terms: -8x + 8x = 0
24 + 5x = -16 + 0
24 + 5x = -16

Add '-24' to each side of the equation.
24 + -24 + 5x = -16 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = -16 + -24
5x = -16 + -24

Combine like terms: -16 + -24 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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