3(x+6)=2(x-(9-x))

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Solution for 3(x+6)=2(x-(9-x)) equation: 


Simplifying
3(x + 6) = 2(x + -1(9 + -1x))

Reorder the terms:
3(6 + x) = 2(x + -1(9 + -1x))
(6 * 3 + x * 3) = 2(x + -1(9 + -1x))
(18 + 3x) = 2(x + -1(9 + -1x))
18 + 3x = 2(x + (9 * -1 + -1x * -1))
18 + 3x = 2(x + (-9 + 1x))

Reorder the terms:
18 + 3x = 2(-9 + x + 1x)

Combine like terms: x + 1x = 2x
18 + 3x = 2(-9 + 2x)
18 + 3x = (-9 * 2 + 2x * 2)
18 + 3x = (-18 + 4x)

Solving
18 + 3x = -18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + 3x + -4x = -18 + 4x + -4x

Combine like terms: 3x + -4x = -1x
18 + -1x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -1x = -18 + 0
18 + -1x = -18

Add '-18' to each side of the equation.
18 + -18 + -1x = -18 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = -18 + -18
-1x = -18 + -18

Combine like terms: -18 + -18 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36

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