6x=3(x+4)-x

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


Simplifying
6x = 3(x + 4) + -1x

Reorder the terms:
6x = 3(4 + x) + -1x
6x = (4 * 3 + x * 3) + -1x
6x = (12 + 3x) + -1x

Combine like terms: 3x + -1x = 2x
6x = 12 + 2x

Solving
6x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6x + -2x = 12 + 2x + -2x

Combine like terms: 6x + -2x = 4x
4x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
4x = 12 + 0
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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