2-6x=5(x-1)

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


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

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

Solving
2 + -6x = -5 + 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.
2 + -6x + -5x = -5 + 5x + -5x

Combine like terms: -6x + -5x = -11x
2 + -11x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -11x = -5 + 0
2 + -11x = -5

Add '-2' to each side of the equation.
2 + -2 + -11x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = -5 + -2
-11x = -5 + -2

Combine like terms: -5 + -2 = -7
-11x = -7

Divide each side by '-11'.
x = 0.6363636364

Simplifying
x = 0.6363636364

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