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

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

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

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

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

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

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

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

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

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

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

Divide each side by '1'.
x = -2

Simplifying
x = -2