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

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


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

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

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

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

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

Combine like terms: x + -3x = -2x
6 + 4x = -12 + -2x

Solving
6 + 4x = -12 + -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.
6 + 4x + 2x = -12 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
6 + 6x = -12 + 0
6 + 6x = -12

Add '-6' to each side of the equation.
6 + -6 + 6x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = -12 + -6
6x = -12 + -6

Combine like terms: -12 + -6 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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