6(x+2)-4(2x-8)=8

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Solution for 6(x+2)-4(2x-8)=8 equation: 


Simplifying
6(x + 2) + -4(2x + -8) = 8

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

Reorder the terms:
12 + 6x + -4(-8 + 2x) = 8
12 + 6x + (-8 * -4 + 2x * -4) = 8
12 + 6x + (32 + -8x) = 8

Reorder the terms:
12 + 32 + 6x + -8x = 8

Combine like terms: 12 + 32 = 44
44 + 6x + -8x = 8

Combine like terms: 6x + -8x = -2x
44 + -2x = 8

Solving
44 + -2x = 8

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + -2x = 8 + -44

Combine like terms: 44 + -44 = 0
0 + -2x = 8 + -44
-2x = 8 + -44

Combine like terms: 8 + -44 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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