3(3-x)+9=2(x-4)+6

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Solution for 3(3-x)+9=2(x-4)+6 equation: 


Simplifying
3(3 + -1x) + 9 = 2(x + -4) + 6
(3 * 3 + -1x * 3) + 9 = 2(x + -4) + 6
(9 + -3x) + 9 = 2(x + -4) + 6

Reorder the terms:
9 + 9 + -3x = 2(x + -4) + 6

Combine like terms: 9 + 9 = 18
18 + -3x = 2(x + -4) + 6

Reorder the terms:
18 + -3x = 2(-4 + x) + 6
18 + -3x = (-4 * 2 + x * 2) + 6
18 + -3x = (-8 + 2x) + 6

Reorder the terms:
18 + -3x = -8 + 6 + 2x

Combine like terms: -8 + 6 = -2
18 + -3x = -2 + 2x

Solving
18 + -3x = -2 + 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.
18 + -3x + -2x = -2 + 2x + -2x

Combine like terms: -3x + -2x = -5x
18 + -5x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -5x = -2 + 0
18 + -5x = -2

Add '-18' to each side of the equation.
18 + -18 + -5x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = -2 + -18
-5x = -2 + -18

Combine like terms: -2 + -18 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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