3-5(x-1)=x

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Solution for 3-5(x-1)=x equation:


Simplifying
3 + -5(x + -1) = x

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

Combine like terms: 3 + 5 = 8
8 + -5x = x

Solving
8 + -5x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + -5x + -1x = x + -1x

Combine like terms: -5x + -1x = -6x
8 + -6x = x + -1x

Combine like terms: x + -1x = 0
8 + -6x = 0

Add '-8' to each side of the equation.
8 + -8 + -6x = 0 + -8

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

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

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333

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