2(1-3x)=x-5

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


Simplifying
2(1 + -3x) = x + -5
(1 * 2 + -3x * 2) = x + -5
(2 + -6x) = x + -5

Reorder the terms:
2 + -6x = -5 + x

Solving
2 + -6x = -5 + 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.
2 + -6x + -1x = -5 + x + -1x

Combine like terms: -6x + -1x = -7x
2 + -7x = -5 + x + -1x

Combine like terms: x + -1x = 0
2 + -7x = -5 + 0
2 + -7x = -5

Add '-2' to each side of the equation.
2 + -2 + -7x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -5 + -2
-7x = -5 + -2

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

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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