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

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


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

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

Reorder the terms:
4 + 2x = 8(-3 + x) + -8
4 + 2x = (-3 * 8 + x * 8) + -8
4 + 2x = (-24 + 8x) + -8

Reorder the terms:
4 + 2x = -24 + -8 + 8x

Combine like terms: -24 + -8 = -32
4 + 2x = -32 + 8x

Solving
4 + 2x = -32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 2x + -8x = -32 + 8x + -8x

Combine like terms: 2x + -8x = -6x
4 + -6x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -6x = -32 + 0
4 + -6x = -32

Add '-4' to each side of the equation.
4 + -4 + -6x = -32 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = -32 + -4
-6x = -32 + -4

Combine like terms: -32 + -4 = -36
-6x = -36

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

Simplifying
x = 6

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