2(4a+3)=3(a-1)

Solution for 2(4a+3)=3(a-1) equation:

Simplifying
2(4a + 3) = 3(a + -1)

Reorder the terms:
2(3 + 4a) = 3(a + -1)
(3 * 2 + 4a * 2) = 3(a + -1)
(6 + 8a) = 3(a + -1)

Reorder the terms:
6 + 8a = 3(-1 + a)
6 + 8a = (-1 * 3 + a * 3)
6 + 8a = (-3 + 3a)

Solving
6 + 8a = -3 + 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 + 8a + -3a = -3 + 3a + -3a

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

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

Add '-6' to each side of the equation.
6 + -6 + 5a = -3 + -6

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

Combine like terms: -3 + -6 = -9
5a = -9

Divide each side by '5'.
a = -1.8

Simplifying
a = -1.8