3-6(4-x)=9(6+x)+2x

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Solution for 3-6(4-x)=9(6+x)+2x equation:


Simplifying
3 + -6(4 + -1x) = 9(6 + x) + 2x
3 + (4 * -6 + -1x * -6) = 9(6 + x) + 2x
3 + (-24 + 6x) = 9(6 + x) + 2x

Combine like terms: 3 + -24 = -21
-21 + 6x = 9(6 + x) + 2x
-21 + 6x = (6 * 9 + x * 9) + 2x
-21 + 6x = (54 + 9x) + 2x

Combine like terms: 9x + 2x = 11x
-21 + 6x = 54 + 11x

Solving
-21 + 6x = 54 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-21 + 6x + -11x = 54 + 11x + -11x

Combine like terms: 6x + -11x = -5x
-21 + -5x = 54 + 11x + -11x

Combine like terms: 11x + -11x = 0
-21 + -5x = 54 + 0
-21 + -5x = 54

Add '21' to each side of the equation.
-21 + 21 + -5x = 54 + 21

Combine like terms: -21 + 21 = 0
0 + -5x = 54 + 21
-5x = 54 + 21

Combine like terms: 54 + 21 = 75
-5x = 75

Divide each side by '-5'.
x = -15

Simplifying
x = -15

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