-3(x-8)+x=-9(2-x)

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Solution for -3(x-8)+x=-9(2-x) equation:


Simplifying
-3(x + -8) + x = -9(2 + -1x)

Reorder the terms:
-3(-8 + x) + x = -9(2 + -1x)
(-8 * -3 + x * -3) + x = -9(2 + -1x)
(24 + -3x) + x = -9(2 + -1x)

Combine like terms: -3x + x = -2x
24 + -2x = -9(2 + -1x)
24 + -2x = (2 * -9 + -1x * -9)
24 + -2x = (-18 + 9x)

Solving
24 + -2x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
24 + -2x + -9x = -18 + 9x + -9x

Combine like terms: -2x + -9x = -11x
24 + -11x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + -11x = -18 + 0
24 + -11x = -18

Add '-24' to each side of the equation.
24 + -24 + -11x = -18 + -24

Combine like terms: 24 + -24 = 0
0 + -11x = -18 + -24
-11x = -18 + -24

Combine like terms: -18 + -24 = -42
-11x = -42

Divide each side by '-11'.
x = 3.818181818

Simplifying
x = 3.818181818

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