1.5(2a+4)=-6.5a-3+0.5a

Solution for 1.5(2a+4)=-6.5a-3+0.5a equation:

Simplifying
1.5(2a + 4) = -6.5a + -3 + 0.5a

Reorder the terms:
1.5(4 + 2a) = -6.5a + -3 + 0.5a
(4 * 1.5 + 2a * 1.5) = -6.5a + -3 + 0.5a
(6 + 3a) = -6.5a + -3 + 0.5a

Reorder the terms:
6 + 3a = -3 + -6.5a + 0.5a

Combine like terms: -6.5a + 0.5a = -6a
6 + 3a = -3 + -6a

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

Solving for variable 'a'.

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

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

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

Combine like terms: -6a + 6a = 0
6 + 9a = -3 + 0
6 + 9a = -3

Add '-6' to each side of the equation.
6 + -6 + 9a = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 9a = -3 + -6
9a = -3 + -6

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

Divide each side by '9'.
a = -1

Simplifying
a = -1