-2(x+2)=8(-x-5)

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Solution for -2(x+2)=8(-x-5) equation:


Simplifying
-2(x + 2) = 8(-1x + -5)

Reorder the terms:
-2(2 + x) = 8(-1x + -5)
(2 * -2 + x * -2) = 8(-1x + -5)
(-4 + -2x) = 8(-1x + -5)

Reorder the terms:
-4 + -2x = 8(-5 + -1x)
-4 + -2x = (-5 * 8 + -1x * 8)
-4 + -2x = (-40 + -8x)

Solving
-4 + -2x = -40 + -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.
-4 + -2x + 8x = -40 + -8x + 8x

Combine like terms: -2x + 8x = 6x
-4 + 6x = -40 + -8x + 8x

Combine like terms: -8x + 8x = 0
-4 + 6x = -40 + 0
-4 + 6x = -40

Add '4' to each side of the equation.
-4 + 4 + 6x = -40 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = -40 + 4
6x = -40 + 4

Combine like terms: -40 + 4 = -36
6x = -36

Divide each side by '6'.
x = -6

Simplifying
x = -6

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