17-(x+5)=9x-8

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Solution for 17-(x+5)=9x-8 equation:


Simplifying
17 + -1(x + 5) = 9x + -8

Reorder the terms:
17 + -1(5 + x) = 9x + -8
17 + (5 * -1 + x * -1) = 9x + -8
17 + (-5 + -1x) = 9x + -8

Combine like terms: 17 + -5 = 12
12 + -1x = 9x + -8

Reorder the terms:
12 + -1x = -8 + 9x

Solving
12 + -1x = -8 + 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.
12 + -1x + -9x = -8 + 9x + -9x

Combine like terms: -1x + -9x = -10x
12 + -10x = -8 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -10x = -8 + 0
12 + -10x = -8

Add '-12' to each side of the equation.
12 + -12 + -10x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = -8 + -12
-10x = -8 + -12

Combine like terms: -8 + -12 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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