10x=2x-3(5x-1)

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Solution for 10x=2x-3(5x-1) equation:


Simplifying
10x = 2x + -3(5x + -1)

Reorder the terms:
10x = 2x + -3(-1 + 5x)
10x = 2x + (-1 * -3 + 5x * -3)
10x = 2x + (3 + -15x)

Reorder the terms:
10x = 3 + 2x + -15x

Combine like terms: 2x + -15x = -13x
10x = 3 + -13x

Solving
10x = 3 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
10x + 13x = 3 + -13x + 13x

Combine like terms: 10x + 13x = 23x
23x = 3 + -13x + 13x

Combine like terms: -13x + 13x = 0
23x = 3 + 0
23x = 3

Divide each side by '23'.
x = 0.1304347826

Simplifying
x = 0.1304347826

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