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

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


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

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

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

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

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

Combine like terms: 16 + -6 = 10
-1 + 2x = 10 + -2x + 6x

Combine like terms: -2x + 6x = 4x
-1 + 2x = 10 + 4x

Solving
-1 + 2x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 2x + -4x = 10 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-1 + -2x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -2x = 10 + 0
-1 + -2x = 10

Add '1' to each side of the equation.
-1 + 1 + -2x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 10 + 1
-2x = 10 + 1

Combine like terms: 10 + 1 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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