8(x+2)=2x-24

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Solution for 8(x+2)=2x-24 equation:


Simplifying
8(x + 2) = 2x + -24

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

Reorder the terms:
16 + 8x = -24 + 2x

Solving
16 + 8x = -24 + 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.
16 + 8x + -2x = -24 + 2x + -2x

Combine like terms: 8x + -2x = 6x
16 + 6x = -24 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 6x = -24 + 0
16 + 6x = -24

Add '-16' to each side of the equation.
16 + -16 + 6x = -24 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = -24 + -16
6x = -24 + -16

Combine like terms: -24 + -16 = -40
6x = -40

Divide each side by '6'.
x = -6.666666667

Simplifying
x = -6.666666667

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