2(4a-3)=5a

Solution for 2(4a-3)=5a equation:

Simplifying
2(4a + -3) = 5a

Reorder the terms:
2(-3 + 4a) = 5a
(-3 * 2 + 4a * 2) = 5a
(-6 + 8a) = 5a

Solving
-6 + 8a = 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-6 + 8a + -5a = 5a + -5a

Combine like terms: 8a + -5a = 3a
-6 + 3a = 5a + -5a

Combine like terms: 5a + -5a = 0
-6 + 3a = 0

Add '6' to each side of the equation.
-6 + 6 + 3a = 0 + 6

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

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

Divide each side by '3'.
a = 2

Simplifying
a = 2