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 = 30
10a = 30

Divide each side by '10'.
a = 3

Simplifying
a = 3