-5(a+8)-3=3(1+6a)

Solution for -5(a+8)-3=3(1+6a) equation:

Simplifying
-5(a + 8) + -3 = 3(1 + 6a)

Reorder the terms:
-5(8 + a) + -3 = 3(1 + 6a)
(8 * -5 + a * -5) + -3 = 3(1 + 6a)
(-40 + -5a) + -3 = 3(1 + 6a)

Reorder the terms:
-40 + -3 + -5a = 3(1 + 6a)

Combine like terms: -40 + -3 = -43
-43 + -5a = 3(1 + 6a)
-43 + -5a = (1 * 3 + 6a * 3)
-43 + -5a = (3 + 18a)

Solving
-43 + -5a = 3 + 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
-43 + -5a + -18a = 3 + 18a + -18a

Combine like terms: -5a + -18a = -23a
-43 + -23a = 3 + 18a + -18a

Combine like terms: 18a + -18a = 0
-43 + -23a = 3 + 0
-43 + -23a = 3

Add '43' to each side of the equation.
-43 + 43 + -23a = 3 + 43

Combine like terms: -43 + 43 = 0
0 + -23a = 3 + 43
-23a = 3 + 43

Combine like terms: 3 + 43 = 46
-23a = 46

Divide each side by '-23'.
a = -2

Simplifying
a = -2