3(x-4)-2=22

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


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

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

Reorder the terms:
-12 + -2 + 3x = 22

Combine like terms: -12 + -2 = -14
-14 + 3x = 22

Solving
-14 + 3x = 22

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 3x = 22 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 22 + 14
3x = 22 + 14

Combine like terms: 22 + 14 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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