3(x-4)-x=8

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Solution for 3(x-4)-x=8 equation:


Simplifying
3(x + -4) + -1x = 8

Reorder the terms:
3(-4 + x) + -1x = 8
(-4 * 3 + x * 3) + -1x = 8
(-12 + 3x) + -1x = 8

Combine like terms: 3x + -1x = 2x
-12 + 2x = 8

Solving
-12 + 2x = 8

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 2x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 8 + 12
2x = 8 + 12

Combine like terms: 8 + 12 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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