2(x+3)+3(x+2)=0.5

Solution for 2(x+3)+3(x+2)=0.5 equation:

Simplifying
2(x + 3) + 3(x + 2) = 0.5

Reorder the terms:
2(3 + x) + 3(x + 2) = 0.5
(3 * 2 + x * 2) + 3(x + 2) = 0.5
(6 + 2x) + 3(x + 2) = 0.5

Reorder the terms:
6 + 2x + 3(2 + x) = 0.5
6 + 2x + (2 * 3 + x * 3) = 0.5
6 + 2x + (6 + 3x) = 0.5

Reorder the terms:
6 + 6 + 2x + 3x = 0.5

Combine like terms: 6 + 6 = 12
12 + 2x + 3x = 0.5

Combine like terms: 2x + 3x = 5x
12 + 5x = 0.5

Solving
12 + 5x = 0.5

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 5x = 0.5 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 0.5 + -12
5x = 0.5 + -12

Combine like terms: 0.5 + -12 = -11.5
5x = -11.5

Divide each side by '5'.
x = -2.3

Simplifying
x = -2.3