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

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


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

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

Remove parenthesis around (-3 + x)
-3 + x + -1(x + 2) = 9x

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

Reorder the terms:
-3 + -2 + x + -1x = 9x

Combine like terms: -3 + -2 = -5
-5 + x + -1x = 9x

Combine like terms: x + -1x = 0
-5 + 0 = 9x
-5 = 9x

Solving
-5 = 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.
-5 + -9x = 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -9x = 0

Add '5' to each side of the equation.
-5 + 5 + -9x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -9x = 0 + 5
-9x = 0 + 5

Combine like terms: 0 + 5 = 5
-9x = 5

Divide each side by '-9'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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