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

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


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

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

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

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

Remove parenthesis around (-6 + x)
6 + -1x = -6 + x

Solving
6 + -1x = -6 + x

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.
6 + -1x + -1x = -6 + x + -1x

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

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

Add '-6' to each side of the equation.
6 + -6 + -2x = -6 + -6

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

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

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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