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

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


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

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

Reorder the terms:
3 + x + -3x = 2x + -5

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

Reorder the terms:
3 + -2x = -5 + 2x

Solving
3 + -2x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -2x + -2x = -5 + 2x + -2x

Combine like terms: -2x + -2x = -4x
3 + -4x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -4x = -5 + 0
3 + -4x = -5

Add '-3' to each side of the equation.
3 + -3 + -4x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -5 + -3
-4x = -5 + -3

Combine like terms: -5 + -3 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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