2(4a-3)=6a+24

Solution for 2(4a-3)=6a+24 equation:

Simplifying
2(4a + -3) = 6a + 24

Reorder the terms:
2(-3 + 4a) = 6a + 24
(-3 * 2 + 4a * 2) = 6a + 24
(-6 + 8a) = 6a + 24

Reorder the terms:
-6 + 8a = 24 + 6a

Solving
-6 + 8a = 24 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-6 + 8a + -6a = 24 + 6a + -6a

Combine like terms: 8a + -6a = 2a
-6 + 2a = 24 + 6a + -6a

Combine like terms: 6a + -6a = 0
-6 + 2a = 24 + 0
-6 + 2a = 24

Add '6' to each side of the equation.
-6 + 6 + 2a = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 2a = 24 + 6
2a = 24 + 6

Combine like terms: 24 + 6 = 30
2a = 30

Divide each side by '2'.
a = 15

Simplifying
a = 15