3(x-4)-6=12

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Solution for 3(x-4)-6=12 equation: 


Simplifying
3(x + -4) + -6 = 12

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

Reorder the terms:
-12 + -6 + 3x = 12

Combine like terms: -12 + -6 = -18
-18 + 3x = 12

Solving
-18 + 3x = 12

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 3x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = 12 + 18
3x = 12 + 18

Combine like terms: 12 + 18 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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