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

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


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

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

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

Reorder the terms:
6 + -4 + 3x + -2x = 8

Combine like terms: 6 + -4 = 2
2 + 3x + -2x = 8

Combine like terms: 3x + -2x = 1x
2 + 1x = 8

Solving
2 + 1x = 8

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 1x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 8 + -2
1x = 8 + -2

Combine like terms: 8 + -2 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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