5(a+1)=42.5

Solution for 5(a+1)=42.5 equation:

Simplifying
5(a + 1) = 42.5

Reorder the terms:
5(1 + a) = 42.5
(1 * 5 + a * 5) = 42.5
(5 + 5a) = 42.5

Solving
5 + 5a = 42.5

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 5a = 42.5 + -5

Combine like terms: 5 + -5 = 0
0 + 5a = 42.5 + -5
5a = 42.5 + -5

Combine like terms: 42.5 + -5 = 37.5
5a = 37.5

Divide each side by '5'.
a = 7.5

Simplifying
a = 7.5