17(2-x)-5(x+12)=8

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Solution for 17(2-x)-5(x+12)=8 equation: 


Simplifying
17(2 + -1x) + -5(x + 12) = 8
(2 * 17 + -1x * 17) + -5(x + 12) = 8
(34 + -17x) + -5(x + 12) = 8

Reorder the terms:
34 + -17x + -5(12 + x) = 8
34 + -17x + (12 * -5 + x * -5) = 8
34 + -17x + (-60 + -5x) = 8

Reorder the terms:
34 + -60 + -17x + -5x = 8

Combine like terms: 34 + -60 = -26
-26 + -17x + -5x = 8

Combine like terms: -17x + -5x = -22x
-26 + -22x = 8

Solving
-26 + -22x = 8

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + -22x = 8 + 26

Combine like terms: -26 + 26 = 0
0 + -22x = 8 + 26
-22x = 8 + 26

Combine like terms: 8 + 26 = 34
-22x = 34

Divide each side by '-22'.
x = -1.545454545

Simplifying
x = -1.545454545

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