-3(x-8)-5=9(x+2)-1

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Solution for -3(x-8)-5=9(x+2)-1 equation:


Simplifying
-3(x + -8) + -5 = 9(x + 2) + -1

Reorder the terms:
-3(-8 + x) + -5 = 9(x + 2) + -1
(-8 * -3 + x * -3) + -5 = 9(x + 2) + -1
(24 + -3x) + -5 = 9(x + 2) + -1

Reorder the terms:
24 + -5 + -3x = 9(x + 2) + -1

Combine like terms: 24 + -5 = 19
19 + -3x = 9(x + 2) + -1

Reorder the terms:
19 + -3x = 9(2 + x) + -1
19 + -3x = (2 * 9 + x * 9) + -1
19 + -3x = (18 + 9x) + -1

Reorder the terms:
19 + -3x = 18 + -1 + 9x

Combine like terms: 18 + -1 = 17
19 + -3x = 17 + 9x

Solving
19 + -3x = 17 + 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.
19 + -3x + -9x = 17 + 9x + -9x

Combine like terms: -3x + -9x = -12x
19 + -12x = 17 + 9x + -9x

Combine like terms: 9x + -9x = 0
19 + -12x = 17 + 0
19 + -12x = 17

Add '-19' to each side of the equation.
19 + -19 + -12x = 17 + -19

Combine like terms: 19 + -19 = 0
0 + -12x = 17 + -19
-12x = 17 + -19

Combine like terms: 17 + -19 = -2
-12x = -2

Divide each side by '-12'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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