5a+2(a+3)=-3(a-8)

Solution for 5a+2(a+3)=-3(a-8) equation:

Simplifying
5a + 2(a + 3) = -3(a + -8)

Reorder the terms:
5a + 2(3 + a) = -3(a + -8)
5a + (3 * 2 + a * 2) = -3(a + -8)
5a + (6 + 2a) = -3(a + -8)

Reorder the terms:
6 + 5a + 2a = -3(a + -8)

Combine like terms: 5a + 2a = 7a
6 + 7a = -3(a + -8)

Reorder the terms:
6 + 7a = -3(-8 + a)
6 + 7a = (-8 * -3 + a * -3)
6 + 7a = (24 + -3a)

Solving
6 + 7a = 24 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
6 + 7a + 3a = 24 + -3a + 3a

Combine like terms: 7a + 3a = 10a
6 + 10a = 24 + -3a + 3a

Combine like terms: -3a + 3a = 0
6 + 10a = 24 + 0
6 + 10a = 24

Add '-6' to each side of the equation.
6 + -6 + 10a = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 10a = 24 + -6
10a = 24 + -6

Combine like terms: 24 + -6 = 18
10a = 18

Divide each side by '10'.
a = 1.8

Simplifying
a = 1.8