1.5-0.25(a+4)=3+(.05-0.5a)

Solution for 1.5-0.25(a+4)=3+(.05-0.5a) equation:

Simplifying
1.5 + -0.25(a + 4) = 3 + (0.05 + -0.5a)

Reorder the terms:
1.5 + -0.25(4 + a) = 3 + (0.05 + -0.5a)
1.5 + (4 * -0.25 + a * -0.25) = 3 + (0.05 + -0.5a)
1.5 + (-1 + -0.25a) = 3 + (0.05 + -0.5a)

Combine like terms: 1.5 + -1 = 0.5
0.5 + -0.25a = 3 + (0.05 + -0.5a)

Remove parenthesis around (0.05 + -0.5a)
0.5 + -0.25a = 3 + 0.05 + -0.5a

Combine like terms: 3 + 0.05 = 3.05
0.5 + -0.25a = 3.05 + -0.5a

Solving
0.5 + -0.25a = 3.05 + -0.5a

Solving for variable 'a'.

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

Add '0.5a' to each side of the equation.
0.5 + -0.25a + 0.5a = 3.05 + -0.5a + 0.5a

Combine like terms: -0.25a + 0.5a = 0.25a
0.5 + 0.25a = 3.05 + -0.5a + 0.5a

Combine like terms: -0.5a + 0.5a = 0.0
0.5 + 0.25a = 3.05 + 0.0
0.5 + 0.25a = 3.05

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.25a = 3.05 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.25a = 3.05 + -0.5
0.25a = 3.05 + -0.5

Combine like terms: 3.05 + -0.5 = 2.55
0.25a = 2.55

Divide each side by '0.25'.
a = 10.2

Simplifying
a = 10.2