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

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

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

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

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

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

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

Combine like terms: 2x + 3x = 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