8(x-1)-2(x+3)=3(2x-1)-5-17x

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Solution for 8(x-1)-2(x+3)=3(2x-1)-5-17x equation: 


Simplifying
8(x + -1) + -2(x + 3) = 3(2x + -1) + -5 + -17x

Reorder the terms:
8(-1 + x) + -2(x + 3) = 3(2x + -1) + -5 + -17x
(-1 * 8 + x * 8) + -2(x + 3) = 3(2x + -1) + -5 + -17x
(-8 + 8x) + -2(x + 3) = 3(2x + -1) + -5 + -17x

Reorder the terms:
-8 + 8x + -2(3 + x) = 3(2x + -1) + -5 + -17x
-8 + 8x + (3 * -2 + x * -2) = 3(2x + -1) + -5 + -17x
-8 + 8x + (-6 + -2x) = 3(2x + -1) + -5 + -17x

Reorder the terms:
-8 + -6 + 8x + -2x = 3(2x + -1) + -5 + -17x

Combine like terms: -8 + -6 = -14
-14 + 8x + -2x = 3(2x + -1) + -5 + -17x

Combine like terms: 8x + -2x = 6x
-14 + 6x = 3(2x + -1) + -5 + -17x

Reorder the terms:
-14 + 6x = 3(-1 + 2x) + -5 + -17x
-14 + 6x = (-1 * 3 + 2x * 3) + -5 + -17x
-14 + 6x = (-3 + 6x) + -5 + -17x

Reorder the terms:
-14 + 6x = -3 + -5 + 6x + -17x

Combine like terms: -3 + -5 = -8
-14 + 6x = -8 + 6x + -17x

Combine like terms: 6x + -17x = -11x
-14 + 6x = -8 + -11x

Solving
-14 + 6x = -8 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
-14 + 6x + 11x = -8 + -11x + 11x

Combine like terms: 6x + 11x = 17x
-14 + 17x = -8 + -11x + 11x

Combine like terms: -11x + 11x = 0
-14 + 17x = -8 + 0
-14 + 17x = -8

Add '14' to each side of the equation.
-14 + 14 + 17x = -8 + 14

Combine like terms: -14 + 14 = 0
0 + 17x = -8 + 14
17x = -8 + 14

Combine like terms: -8 + 14 = 6
17x = 6

Divide each side by '17'.
x = 0.3529411765

Simplifying
x = 0.3529411765

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