3(3x+2)-2(x-1)=22

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Solution for 3(3x+2)-2(x-1)=22 equation: 


Simplifying
3(3x + 2) + -2(x + -1) = 22

Reorder the terms:
3(2 + 3x) + -2(x + -1) = 22
(2 * 3 + 3x * 3) + -2(x + -1) = 22
(6 + 9x) + -2(x + -1) = 22

Reorder the terms:
6 + 9x + -2(-1 + x) = 22
6 + 9x + (-1 * -2 + x * -2) = 22
6 + 9x + (2 + -2x) = 22

Reorder the terms:
6 + 2 + 9x + -2x = 22

Combine like terms: 6 + 2 = 8
8 + 9x + -2x = 22

Combine like terms: 9x + -2x = 7x
8 + 7x = 22

Solving
8 + 7x = 22

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 7x = 22 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 22 + -8
7x = 22 + -8

Combine like terms: 22 + -8 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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