6(6-x)-3x=24-6x

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Solution for 6(6-x)-3x=24-6x equation:


Simplifying
6(6 + -1x) + -3x = 24 + -6x
(6 * 6 + -1x * 6) + -3x = 24 + -6x
(36 + -6x) + -3x = 24 + -6x

Combine like terms: -6x + -3x = -9x
36 + -9x = 24 + -6x

Solving
36 + -9x = 24 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
36 + -9x + 6x = 24 + -6x + 6x

Combine like terms: -9x + 6x = -3x
36 + -3x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
36 + -3x = 24 + 0
36 + -3x = 24

Add '-36' to each side of the equation.
36 + -36 + -3x = 24 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 24 + -36
-3x = 24 + -36

Combine like terms: 24 + -36 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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