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

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

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

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

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

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

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

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

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

Combine like terms: 1.5x + 2x = 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