9(x+2)=-6(4-x)+18

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Solution for 9(x+2)=-6(4-x)+18 equation: 


Simplifying
9(x + 2) = -6(4 + -1x) + 18

Reorder the terms:
9(2 + x) = -6(4 + -1x) + 18
(2 * 9 + x * 9) = -6(4 + -1x) + 18
(18 + 9x) = -6(4 + -1x) + 18
18 + 9x = (4 * -6 + -1x * -6) + 18
18 + 9x = (-24 + 6x) + 18

Reorder the terms:
18 + 9x = -24 + 18 + 6x

Combine like terms: -24 + 18 = -6
18 + 9x = -6 + 6x

Solving
18 + 9x = -6 + 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.
18 + 9x + -6x = -6 + 6x + -6x

Combine like terms: 9x + -6x = 3x
18 + 3x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + 3x = -6 + 0
18 + 3x = -6

Add '-18' to each side of the equation.
18 + -18 + 3x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = -6 + -18
3x = -6 + -18

Combine like terms: -6 + -18 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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