(6+x)=12-(3-2x)

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Solution for (6+x)=12-(3-2x) equation:


Simplifying
(6 + x) = 12 + -1(3 + -2x)

Remove parenthesis around (6 + x)
6 + x = 12 + -1(3 + -2x)
6 + x = 12 + (3 * -1 + -2x * -1)
6 + x = 12 + (-3 + 2x)

Combine like terms: 12 + -3 = 9
6 + x = 9 + 2x

Solving
6 + x = 9 + 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 + x + -2x = 9 + 2x + -2x

Combine like terms: x + -2x = -1x
6 + -1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -1x = 9 + 0
6 + -1x = 9

Add '-6' to each side of the equation.
6 + -6 + -1x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 9 + -6
-1x = 9 + -6

Combine like terms: 9 + -6 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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