3(x+2)+2(x-3)=10

Solution for 3(x+2)+2(x-3)=10 equation:

Simplifying
3(x + 2) + 2(x + -3) = 10

Reorder the terms:
3(2 + x) + 2(x + -3) = 10
(2 * 3 + x * 3) + 2(x + -3) = 10
(6 + 3x) + 2(x + -3) = 10

Reorder the terms:
6 + 3x + 2(-3 + x) = 10
6 + 3x + (-3 * 2 + x * 2) = 10
6 + 3x + (-6 + 2x) = 10

Reorder the terms:
6 + -6 + 3x + 2x = 10

Combine like terms: 6 + -6 = 0
0 + 3x + 2x = 10
3x + 2x = 10

Combine like terms: 3x + 2x = 5x
5x = 10

Solving
5x = 10

Solving for variable 'x'.

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

Divide each side by '5'.
x = 2

Simplifying
x = 2