2(x-8)-1=-2(-7x+1)-6x

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Solution for 2(x-8)-1=-2(-7x+1)-6x equation:


Simplifying
2(x + -8) + -1 = -2(-7x + 1) + -6x

Reorder the terms:
2(-8 + x) + -1 = -2(-7x + 1) + -6x
(-8 * 2 + x * 2) + -1 = -2(-7x + 1) + -6x
(-16 + 2x) + -1 = -2(-7x + 1) + -6x

Reorder the terms:
-16 + -1 + 2x = -2(-7x + 1) + -6x

Combine like terms: -16 + -1 = -17
-17 + 2x = -2(-7x + 1) + -6x

Reorder the terms:
-17 + 2x = -2(1 + -7x) + -6x
-17 + 2x = (1 * -2 + -7x * -2) + -6x
-17 + 2x = (-2 + 14x) + -6x

Combine like terms: 14x + -6x = 8x
-17 + 2x = -2 + 8x

Solving
-17 + 2x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-17 + 2x + -8x = -2 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-17 + -6x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-17 + -6x = -2 + 0
-17 + -6x = -2

Add '17' to each side of the equation.
-17 + 17 + -6x = -2 + 17

Combine like terms: -17 + 17 = 0
0 + -6x = -2 + 17
-6x = -2 + 17

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

Divide each side by '-6'.
x = -2.5

Simplifying
x = -2.5

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