8-2(x-6)=5x-1

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Solution for 8-2(x-6)=5x-1 equation:


Simplifying
8 + -2(x + -6) = 5x + -1

Reorder the terms:
8 + -2(-6 + x) = 5x + -1
8 + (-6 * -2 + x * -2) = 5x + -1
8 + (12 + -2x) = 5x + -1

Combine like terms: 8 + 12 = 20
20 + -2x = 5x + -1

Reorder the terms:
20 + -2x = -1 + 5x

Solving
20 + -2x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + -2x + -5x = -1 + 5x + -5x

Combine like terms: -2x + -5x = -7x
20 + -7x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -7x = -1 + 0
20 + -7x = -1

Add '-20' to each side of the equation.
20 + -20 + -7x = -1 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -1 + -20
-7x = -1 + -20

Combine like terms: -1 + -20 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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