x-5(x-1)=6x

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


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

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

Reorder the terms:
5 + x + -5x = 6x

Combine like terms: x + -5x = -4x
5 + -4x = 6x

Solving
5 + -4x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + -4x + -6x = 6x + -6x

Combine like terms: -4x + -6x = -10x
5 + -10x = 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -10x = 0

Add '-5' to each side of the equation.
5 + -5 + -10x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -10x = 0 + -5
-10x = 0 + -5

Combine like terms: 0 + -5 = -5
-10x = -5

Divide each side by '-10'.
x = 0.5

Simplifying
x = 0.5

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