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

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Solution for 3(2x+2)-4=2(x+1)+8 equation: 


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

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

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

Combine like terms: 6 + -4 = 2
2 + 6x = 2(x + 1) + 8

Reorder the terms:
2 + 6x = 2(1 + x) + 8
2 + 6x = (1 * 2 + x * 2) + 8
2 + 6x = (2 + 2x) + 8

Reorder the terms:
2 + 6x = 2 + 8 + 2x

Combine like terms: 2 + 8 = 10
2 + 6x = 10 + 2x

Solving
2 + 6x = 10 + 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.
2 + 6x + -2x = 10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
2 + 4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 4x = 10 + 0
2 + 4x = 10

Add '-2' to each side of the equation.
2 + -2 + 4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 10 + -2
4x = 10 + -2

Combine like terms: 10 + -2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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