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

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


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

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

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

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

Combine like terms: 8 + 4 = 12
12 + 6x + -2x = 8

Combine like terms: 6x + -2x = 4x
12 + 4x = 8

Solving
12 + 4x = 8

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 4x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 8 + -12
4x = 8 + -12

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

Divide each side by '4'.
x = -1

Simplifying
x = -1

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