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

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

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

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

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

Solving
2 + 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.
2 + 1x + 3x = 6 + -3x + 3x

Combine like terms: 1x + 3x = 4x
2 + 4x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 4x = 6 + 0
2 + 4x = 6

Add '-2' to each side of the equation.
2 + -2 + 4x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 6 + -2
4x = 6 + -2

Combine like terms: 6 + -2 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1