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

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


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

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

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

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

Combine like terms: x + -2x = -1x
6 + 3x = -4 + -1x

Solving
6 + 3x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 3x + x = -4 + -1x + x

Combine like terms: 3x + x = 4x
6 + 4x = -4 + -1x + x

Combine like terms: -1x + x = 0
6 + 4x = -4 + 0
6 + 4x = -4

Add '-6' to each side of the equation.
6 + -6 + 4x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -4 + -6
4x = -4 + -6

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

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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