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

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


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

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

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

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

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

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

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

Remove parenthesis around (-1 + 2x)
-14 + 6x = -1 + 2x + -5 + -17x

Reorder the terms:
-14 + 6x = -1 + -5 + 2x + -17x

Combine like terms: -1 + -5 = -6
-14 + 6x = -6 + 2x + -17x

Combine like terms: 2x + -17x = -15x
-14 + 6x = -6 + -15x

Solving
-14 + 6x = -6 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-14 + 6x + 15x = -6 + -15x + 15x

Combine like terms: 6x + 15x = 21x
-14 + 21x = -6 + -15x + 15x

Combine like terms: -15x + 15x = 0
-14 + 21x = -6 + 0
-14 + 21x = -6

Add '14' to each side of the equation.
-14 + 14 + 21x = -6 + 14

Combine like terms: -14 + 14 = 0
0 + 21x = -6 + 14
21x = -6 + 14

Combine like terms: -6 + 14 = 8
21x = 8

Divide each side by '21'.
x = 0.380952381

Simplifying
x = 0.380952381

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