7.6(a+5)+1.7=100.5

Solution for 7.6(a+5)+1.7=100.5 equation:

Simplifying
7.6(a + 5) + 1.7 = 100.5

Reorder the terms:
7.6(5 + a) + 1.7 = 100.5
(5 * 7.6 + a * 7.6) + 1.7 = 100.5
(38 + 7.6a) + 1.7 = 100.5

Reorder the terms:
38 + 1.7 + 7.6a = 100.5

Combine like terms: 38 + 1.7 = 39.7
39.7 + 7.6a = 100.5

Solving
39.7 + 7.6a = 100.5

Solving for variable 'a'.

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

Add '-39.7' to each side of the equation.
39.7 + -39.7 + 7.6a = 100.5 + -39.7

Combine like terms: 39.7 + -39.7 = 0.0
0.0 + 7.6a = 100.5 + -39.7
7.6a = 100.5 + -39.7

Combine like terms: 100.5 + -39.7 = 60.8
7.6a = 60.8

Divide each side by '7.6'.
a = 8

Simplifying
a = 8