2(1.5a+4)-2=13

Solution for 2(1.5a+4)-2=13 equation:

Simplifying
2(1.5a + 4) + -2 = 13

Reorder the terms:
2(4 + 1.5a) + -2 = 13
(4 * 2 + 1.5a * 2) + -2 = 13
(8 + 3a) + -2 = 13

Reorder the terms:
8 + -2 + 3a = 13

Combine like terms: 8 + -2 = 6
6 + 3a = 13

Solving
6 + 3a = 13

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 3a = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 3a = 13 + -6
3a = 13 + -6

Combine like terms: 13 + -6 = 7
3a = 7

Divide each side by '3'.
a = 2.333333333

Simplifying
a = 2.333333333