3(2x+8)=-2x

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


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

Reorder the terms:
3(8 + 2x) = -2x
(8 * 3 + 2x * 3) = -2x
(24 + 6x) = -2x

Solving
24 + 6x = -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.
24 + 6x + 2x = -2x + 2x

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

Combine like terms: -2x + 2x = 0
24 + 8x = 0

Add '-24' to each side of the equation.
24 + -24 + 8x = 0 + -24

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

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

Divide each side by '8'.
x = -3

Simplifying
x = -3

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