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

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


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

Reorder the terms:
3x + 4(-2 + 3x) = 22
3x + (-2 * 4 + 3x * 4) = 22
3x + (-8 + 12x) = 22

Reorder the terms:
-8 + 3x + 12x = 22

Combine like terms: 3x + 12x = 15x
-8 + 15x = 22

Solving
-8 + 15x = 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 + 15x = 22 + 8

Combine like terms: -8 + 8 = 0
0 + 15x = 22 + 8
15x = 22 + 8

Combine like terms: 22 + 8 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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