4a+2(a-3)=3(a+8)

Solution for 4a+2(a-3)=3(a+8) equation:

Simplifying
4a + 2(a + -3) = 3(a + 8)

Reorder the terms:
4a + 2(-3 + a) = 3(a + 8)
4a + (-3 * 2 + a * 2) = 3(a + 8)
4a + (-6 + 2a) = 3(a + 8)

Reorder the terms:
-6 + 4a + 2a = 3(a + 8)

Combine like terms: 4a + 2a = 6a
-6 + 6a = 3(a + 8)

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

Solving
-6 + 6a = 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 + 6a + -3a = 24 + 3a + -3a

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

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

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

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

Combine like terms: 24 + 6 = 30
3a = 30

Divide each side by '3'.
a = 10

Simplifying
a = 10