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

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


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

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

Combine like terms: 6x + -4x = 2x
12 + 2x = 2 + -2(x + 1)

Reorder the terms:
12 + 2x = 2 + -2(1 + x)
12 + 2x = 2 + (1 * -2 + x * -2)
12 + 2x = 2 + (-2 + -2x)

Combine like terms: 2 + -2 = 0
12 + 2x = 0 + -2x
12 + 2x = -2x

Solving
12 + 2x = -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.
12 + 2x + 2x = -2x + 2x

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

Combine like terms: -2x + 2x = 0
12 + 4x = 0

Add '-12' to each side of the equation.
12 + -12 + 4x = 0 + -12

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

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

Divide each side by '4'.
x = -3

Simplifying
x = -3

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