6=6(x-4)-3x

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


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

Reorder the terms:
6 = 6(-4 + x) + -3x
6 = (-4 * 6 + x * 6) + -3x
6 = (-24 + 6x) + -3x

Combine like terms: 6x + -3x = 3x
6 = -24 + 3x

Solving
6 = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -3x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -3x = -24 + 0
6 + -3x = -24

Add '-6' to each side of the equation.
6 + -6 + -3x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -24 + -6
-3x = -24 + -6

Combine like terms: -24 + -6 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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