0.30(x+80)+1.50x=105

Solution for 0.30(x+80)+1.50x=105 equation:

Simplifying
0.30(x + 80) + 1.50x = 105

Reorder the terms:
0.30(80 + x) + 1.50x = 105
(80 * 0.30 + x * 0.30) + 1.50x = 105
(24 + 0.30x) + 1.50x = 105

Combine like terms: 0.30x + 1.50x = 1.8x
24 + 1.8x = 105

Solving
24 + 1.8x = 105

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 1.8x = 105 + -24

Combine like terms: 24 + -24 = 0
0 + 1.8x = 105 + -24
1.8x = 105 + -24

Combine like terms: 105 + -24 = 81
1.8x = 81

Divide each side by '1.8'.
x = 45

Simplifying
x = 45