(2x-9)+(1.5x+6)=32

Solution for (2x-9)+(1.5x+6)=32 equation:

Simplifying
(2x + -9) + (1.5x + 6) = 32

Reorder the terms:
(-9 + 2x) + (1.5x + 6) = 32

Remove parenthesis around (-9 + 2x)
-9 + 2x + (1.5x + 6) = 32

Reorder the terms:
-9 + 2x + (6 + 1.5x) = 32

Remove parenthesis around (6 + 1.5x)
-9 + 2x + 6 + 1.5x = 32

Reorder the terms:
-9 + 6 + 2x + 1.5x = 32

Combine like terms: -9 + 6 = -3
-3 + 2x + 1.5x = 32

Combine like terms: 2x + 1.5x = 3.5x
-3 + 3.5x = 32

Solving
-3 + 3.5x = 32

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 3.5x = 32 + 3

Combine like terms: -3 + 3 = 0
0 + 3.5x = 32 + 3
3.5x = 32 + 3

Combine like terms: 32 + 3 = 35
3.5x = 35

Divide each side by '3.5'.
x = 10

Simplifying
x = 10