(3x-4)+(2x+24)=180

Solution for (3x-4)+(2x+24)=180 equation:

Simplifying
(3x + -4) + (2x + 24) = 180

Reorder the terms:
(-4 + 3x) + (2x + 24) = 180

Remove parenthesis around (-4 + 3x)
-4 + 3x + (2x + 24) = 180

Reorder the terms:
-4 + 3x + (24 + 2x) = 180

Remove parenthesis around (24 + 2x)
-4 + 3x + 24 + 2x = 180

Reorder the terms:
-4 + 24 + 3x + 2x = 180

Combine like terms: -4 + 24 = 20
20 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
20 + 5x = 180

Solving
20 + 5x = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 5x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 180 + -20
5x = 180 + -20

Combine like terms: 180 + -20 = 160
5x = 160

Divide each side by '5'.
x = 32

Simplifying
x = 32