2.50(a+15.00)=412.50

Solution for 2.50(a+15.00)=412.50 equation:

Simplifying
2.50(a + 15.00) = 412.50

Reorder the terms:
2.50(15.00 + a) = 412.50
(15.00 * 2.50 + a * 2.50) = 412.50
(37.5 + 2.50a) = 412.50

Solving
37.5 + 2.50a = 412.50

Solving for variable 'a'.

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

Add '-37.5' to each side of the equation.
37.5 + -37.5 + 2.50a = 412.50 + -37.5

Combine like terms: 37.5 + -37.5 = 0.0
0.0 + 2.50a = 412.50 + -37.5
2.50a = 412.50 + -37.5

Combine like terms: 412.50 + -37.5 = 375
2.50a = 375

Divide each side by '2.50'.
a = 150

Simplifying
a = 150