2.4(10a+15)=2(9a+3)

Solution for 2.4(10a+15)=2(9a+3) equation:

Simplifying
2.4(10a + 15) = 2(9a + 3)

Reorder the terms:
2.4(15 + 10a) = 2(9a + 3)
(15 * 2.4 + 10a * 2.4) = 2(9a + 3)
(36 + 24a) = 2(9a + 3)

Reorder the terms:
36 + 24a = 2(3 + 9a)
36 + 24a = (3 * 2 + 9a * 2)
36 + 24a = (6 + 18a)

Solving
36 + 24a = 6 + 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
36 + 24a + -18a = 6 + 18a + -18a

Combine like terms: 24a + -18a = 6a
36 + 6a = 6 + 18a + -18a

Combine like terms: 18a + -18a = 0
36 + 6a = 6 + 0
36 + 6a = 6

Add '-36' to each side of the equation.
36 + -36 + 6a = 6 + -36

Combine like terms: 36 + -36 = 0
0 + 6a = 6 + -36
6a = 6 + -36

Combine like terms: 6 + -36 = -30
6a = -30

Divide each side by '6'.
a = -5

Simplifying
a = -5