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

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

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

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

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

Reorder the terms:
2 + 1x = 3(2 + y)
2 + 1x = (2 * 3 + y * 3)
2 + 1x = (6 + 3y)

Solving
2 + 1x = 6 + 3y

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 1x = 6 + -2 + 3y

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

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

Divide each side by '1'.
x = 4 + 3y

Simplifying
x = 4 + 3y