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

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


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

Reorder the terms:
9(2 + x) = (x + -3)
(2 * 9 + x * 9) = (x + -3)
(18 + 9x) = (x + -3)

Reorder the terms:
18 + 9x = (-3 + x)

Remove parenthesis around (-3 + x)
18 + 9x = -3 + x

Solving
18 + 9x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
18 + 9x + -1x = -3 + x + -1x

Combine like terms: 9x + -1x = 8x
18 + 8x = -3 + x + -1x

Combine like terms: x + -1x = 0
18 + 8x = -3 + 0
18 + 8x = -3

Add '-18' to each side of the equation.
18 + -18 + 8x = -3 + -18

Combine like terms: 18 + -18 = 0
0 + 8x = -3 + -18
8x = -3 + -18

Combine like terms: -3 + -18 = -21
8x = -21

Divide each side by '8'.
x = -2.625

Simplifying
x = -2.625

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