2(x-3)+3(x+2)=x-5

Solution for 2(x-3)+3(x+2)=x-5 equation:

Simplifying
2(x + -3) + 3(x + 2) = x + -5

Reorder the terms:
2(-3 + x) + 3(x + 2) = x + -5
(-3 * 2 + x * 2) + 3(x + 2) = x + -5
(-6 + 2x) + 3(x + 2) = x + -5

Reorder the terms:
-6 + 2x + 3(2 + x) = x + -5
-6 + 2x + (2 * 3 + x * 3) = x + -5
-6 + 2x + (6 + 3x) = x + -5

Reorder the terms:
-6 + 6 + 2x + 3x = x + -5

Combine like terms: -6 + 6 = 0
0 + 2x + 3x = x + -5
2x + 3x = x + -5

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

Reorder the terms:
5x = -5 + x

Solving
5x = -5 + 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.
5x + -1x = -5 + x + -1x

Combine like terms: 5x + -1x = 4x
4x = -5 + x + -1x

Combine like terms: x + -1x = 0
4x = -5 + 0
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25