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

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

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

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

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

Remove parenthesis around (-1 + x)
2 + 2x + -1 + x = 3(1 + -1x)

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

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

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

Solving
1 + 3x = 3 + -3x

Solving for variable 'x'.

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

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

Combine like terms: 3x + 3x = 6x
1 + 6x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 6x = 3 + 0
1 + 6x = 3

Add '-1' to each side of the equation.
1 + -1 + 6x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 3 + -1
6x = 3 + -1

Combine like terms: 3 + -1 = 2
6x = 2

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333