2a+3=1.5+(6+4a)

Solution for 2a+3=1.5+(6+4a) equation:

Simplifying
2a + 3 = 1.5 + (6 + 4a)

Reorder the terms:
3 + 2a = 1.5 + (6 + 4a)

Remove parenthesis around (6 + 4a)
3 + 2a = 1.5 + 6 + 4a

Combine like terms: 1.5 + 6 = 7.5
3 + 2a = 7.5 + 4a

Solving
3 + 2a = 7.5 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
3 + 2a + -4a = 7.5 + 4a + -4a

Combine like terms: 2a + -4a = -2a
3 + -2a = 7.5 + 4a + -4a

Combine like terms: 4a + -4a = 0
3 + -2a = 7.5 + 0
3 + -2a = 7.5

Add '-3' to each side of the equation.
3 + -3 + -2a = 7.5 + -3

Combine like terms: 3 + -3 = 0
0 + -2a = 7.5 + -3
-2a = 7.5 + -3

Combine like terms: 7.5 + -3 = 4.5
-2a = 4.5

Divide each side by '-2'.
a = -2.25

Simplifying
a = -2.25