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

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


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

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

Combine like terms: -3x + x = -2x
9 + -2x = 8(9 + -1x)
9 + -2x = (9 * 8 + -1x * 8)
9 + -2x = (72 + -8x)

Solving
9 + -2x = 72 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
9 + -2x + 8x = 72 + -8x + 8x

Combine like terms: -2x + 8x = 6x
9 + 6x = 72 + -8x + 8x

Combine like terms: -8x + 8x = 0
9 + 6x = 72 + 0
9 + 6x = 72

Add '-9' to each side of the equation.
9 + -9 + 6x = 72 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 72 + -9
6x = 72 + -9

Combine like terms: 72 + -9 = 63
6x = 63

Divide each side by '6'.
x = 10.5

Simplifying
x = 10.5

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