3(a+2)+5(a-1)=

Solution for 3(a+2)+5(a-1)= equation:

Simplifying
3(a + 2) + 5(a + -1) = 0

Reorder the terms:
3(2 + a) + 5(a + -1) = 0
(2 * 3 + a * 3) + 5(a + -1) = 0
(6 + 3a) + 5(a + -1) = 0

Reorder the terms:
6 + 3a + 5(-1 + a) = 0
6 + 3a + (-1 * 5 + a * 5) = 0
6 + 3a + (-5 + 5a) = 0

Reorder the terms:
6 + -5 + 3a + 5a = 0

Combine like terms: 6 + -5 = 1
1 + 3a + 5a = 0

Combine like terms: 3a + 5a = 8a
1 + 8a = 0

Solving
1 + 8a = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -1 + 8a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8a = 0 + -1
8a = 0 + -1

Combine like terms: 0 + -1 = -1
8a = -1

Divide each side by '8'.
a = -0.125

Simplifying
a = -0.125