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

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


Simplifying
2(3x + 2) + -3(4 + -1x) = x + 8

Reorder the terms:
2(2 + 3x) + -3(4 + -1x) = x + 8
(2 * 2 + 3x * 2) + -3(4 + -1x) = x + 8
(4 + 6x) + -3(4 + -1x) = x + 8
4 + 6x + (4 * -3 + -1x * -3) = x + 8
4 + 6x + (-12 + 3x) = x + 8

Reorder the terms:
4 + -12 + 6x + 3x = x + 8

Combine like terms: 4 + -12 = -8
-8 + 6x + 3x = x + 8

Combine like terms: 6x + 3x = 9x
-8 + 9x = x + 8

Reorder the terms:
-8 + 9x = 8 + x

Solving
-8 + 9x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 9x + -1x = 8 + x + -1x

Combine like terms: 9x + -1x = 8x
-8 + 8x = 8 + x + -1x

Combine like terms: x + -1x = 0
-8 + 8x = 8 + 0
-8 + 8x = 8

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

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

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

Divide each side by '8'.
x = 2

Simplifying
x = 2

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