(5a+3)(5+3)+13=-3

Solution for (5a+3)(5+3)+13=-3 equation:

Simplifying
(5a + 3)(5 + 3) + 13 = -3

Reorder the terms:
(3 + 5a)(5 + 3) + 13 = -3

Combine like terms: 5 + 3 = 8
(3 + 5a)(8) + 13 = -3

Reorder the terms for easier multiplication:
8(3 + 5a) + 13 = -3
(3 * 8 + 5a * 8) + 13 = -3
(24 + 40a) + 13 = -3

Reorder the terms:
24 + 13 + 40a = -3

Combine like terms: 24 + 13 = 37
37 + 40a = -3

Solving
37 + 40a = -3

Solving for variable 'a'.

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

Add '-37' to each side of the equation.
37 + -37 + 40a = -3 + -37

Combine like terms: 37 + -37 = 0
0 + 40a = -3 + -37
40a = -3 + -37

Combine like terms: -3 + -37 = -40
40a = -40

Divide each side by '40'.
a = -1

Simplifying
a = -1