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

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

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

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

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

Solving
1 + -1x = 6 + -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 + -1x + 3x = 6 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
1 + 2x = 6 + 0
1 + 2x = 6

Add '-1' to each side of the equation.
1 + -1 + 2x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 6 + -1
2x = 6 + -1

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

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5