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

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


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

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

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

Solving
8 + 16x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
8 + 16x + 6x = -6x + 6x

Combine like terms: 16x + 6x = 22x
8 + 22x = -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 22x = 0

Add '-8' to each side of the equation.
8 + -8 + 22x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 22x = 0 + -8
22x = 0 + -8

Combine like terms: 0 + -8 = -8
22x = -8

Divide each side by '22'.
x = -0.3636363636

Simplifying
x = -0.3636363636

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