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

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

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

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

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

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

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

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

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

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

Reorder the terms:
6 + -1x = (2 + x)

Remove parenthesis around (2 + x)
6 + -1x = 2 + x

Solving
6 + -1x = 2 + x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = 2