3(3x+4)-2(6x-2)=22

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Solution for 3(3x+4)-2(6x-2)=22 equation: 


Simplifying
3(3x + 4) + -2(6x + -2) = 22

Reorder the terms:
3(4 + 3x) + -2(6x + -2) = 22
(4 * 3 + 3x * 3) + -2(6x + -2) = 22
(12 + 9x) + -2(6x + -2) = 22

Reorder the terms:
12 + 9x + -2(-2 + 6x) = 22
12 + 9x + (-2 * -2 + 6x * -2) = 22
12 + 9x + (4 + -12x) = 22

Reorder the terms:
12 + 4 + 9x + -12x = 22

Combine like terms: 12 + 4 = 16
16 + 9x + -12x = 22

Combine like terms: 9x + -12x = -3x
16 + -3x = 22

Solving
16 + -3x = 22

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -3x = 22 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 22 + -16
-3x = 22 + -16

Combine like terms: 22 + -16 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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