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

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Solution for 5x+8=-2(-2x-1) equation:


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

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

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

Solving
8 + 5x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 5x + -4x = 2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
8 + 1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 1x = 2 + 0
8 + 1x = 2

Add '-8' to each side of the equation.
8 + -8 + 1x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 2 + -8
1x = 2 + -8

Combine like terms: 2 + -8 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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