2*(x+2)*3-4=-2*(x+8)

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Solution for 2*(x+2)*3-4=-2*(x+8) equation:


Simplifying
2(x + 2) * 3 + -4 = -2(x + 8)

Reorder the terms:
2(2 + x) * 3 + -4 = -2(x + 8)

Reorder the terms for easier multiplication:
2 * 3(2 + x) + -4 = -2(x + 8)

Multiply 2 * 3
6(2 + x) + -4 = -2(x + 8)
(2 * 6 + x * 6) + -4 = -2(x + 8)
(12 + 6x) + -4 = -2(x + 8)

Reorder the terms:
12 + -4 + 6x = -2(x + 8)

Combine like terms: 12 + -4 = 8
8 + 6x = -2(x + 8)

Reorder the terms:
8 + 6x = -2(8 + x)
8 + 6x = (8 * -2 + x * -2)
8 + 6x = (-16 + -2x)

Solving
8 + 6x = -16 + -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.
8 + 6x + 2x = -16 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
8 + 8x = -16 + 0
8 + 8x = -16

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

Combine like terms: 8 + -8 = 0
0 + 8x = -16 + -8
8x = -16 + -8

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

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

Simplifying
x = -3

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