3(x+2)-6=4+2x-(x-2)

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Solution for 3(x+2)-6=4+2x-(x-2) equation:


Simplifying
3(x + 2) + -6 = 4 + 2x + -1(x + -2)

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

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

Combine like terms: 6 + -6 = 0
0 + 3x = 4 + 2x + -1(x + -2)
3x = 4 + 2x + -1(x + -2)

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

Reorder the terms:
3x = 4 + 2 + 2x + -1x

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

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

Solving
3x = 6 + 1x

Solving for variable 'x'.

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

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

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

Combine like terms: 1x + -1x = 0
2x = 6 + 0
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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