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

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

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

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

Reorder the terms:
-6 + 3 + 2x = x + 2

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

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

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

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

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

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

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

Combine like terms: 2 + 3 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5