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

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

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

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

Combine like terms: 2x + -3x = -1x
2 + -1x = x + -3(x + -1)

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

Reorder the terms:
2 + -1x = 3 + x + -3x

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

Solving
2 + -1x = 3 + -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.
2 + -1x + 2x = 3 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
2 + 1x = 3 + 0
2 + 1x = 3

Add '-2' to each side of the equation.
2 + -2 + 1x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 3 + -2
1x = 3 + -2

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

Divide each side by '1'.
x = 1

Simplifying
x = 1