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

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

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

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

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

Reorder the terms:
6 + -5 + 2a + 5a = 0

Combine like terms: 6 + -5 = 1
1 + 2a + 5a = 0

Combine like terms: 2a + 5a = 7a
1 + 7a = 0

Solving
1 + 7a = 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 + 7a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7a = 0 + -1
7a = 0 + -1

Combine like terms: 0 + -1 = -1
7a = -1

Divide each side by '7'.
a = -0.1428571429

Simplifying
a = -0.1428571429