2.50[x+15.00]=412.50

Solution for 2.50[x+15.00]=412.50 equation:

Simplifying
2.50[x + 15.00] = 412.50

Reorder the terms:
2.50[15.00 + x] = 412.50
[15.00 * 2.50 + x * 2.50] = 412.50
[37.5 + 2.50x] = 412.50

Solving
37.5 + 2.50x = 412.50

Solving for variable 'x'.

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

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

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

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

Divide each side by '2.50'.
x = 150

Simplifying
x = 150