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

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Solution for (x-2)=9(x+1) equation:


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

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

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

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

Solving
-2 + x = 9 + 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.
-2 + x + -9x = 9 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
-2 + -8x = 9 + 0
-2 + -8x = 9

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

Combine like terms: -2 + 2 = 0
0 + -8x = 9 + 2
-8x = 9 + 2

Combine like terms: 9 + 2 = 11
-8x = 11

Divide each side by '-8'.
x = -1.375

Simplifying
x = -1.375

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