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

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


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

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

Solving
1 + -3x = 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.
1 + -3x + 5x = 5 + -5x + 5x

Combine like terms: -3x + 5x = 2x
1 + 2x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 2x = 5 + 0
1 + 2x = 5

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

Combine like terms: 1 + -1 = 0
0 + 2x = 5 + -1
2x = 5 + -1

Combine like terms: 5 + -1 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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