1.5-.25(a+4)=3+3(.05-.5a)

Solution for 1.5-.25(a+4)=3+3(.05-.5a) equation:

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

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

Combine like terms: 1.5 + -1 = 0.5
0.5 + -0.25a = 3 + 3(0.05 + -0.5a)
0.5 + -0.25a = 3 + (0.05 * 3 + -0.5a * 3)
0.5 + -0.25a = 3 + (0.15 + -1.5a)

Combine like terms: 3 + 0.15 = 3.15
0.5 + -0.25a = 3.15 + -1.5a

Solving
0.5 + -0.25a = 3.15 + -1.5a

Solving for variable 'a'.

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

Add '1.5a' to each side of the equation.
0.5 + -0.25a + 1.5a = 3.15 + -1.5a + 1.5a

Combine like terms: -0.25a + 1.5a = 1.25a
0.5 + 1.25a = 3.15 + -1.5a + 1.5a

Combine like terms: -1.5a + 1.5a = 0.0
0.5 + 1.25a = 3.15 + 0.0
0.5 + 1.25a = 3.15

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1.25a = 3.15 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1.25a = 3.15 + -0.5
1.25a = 3.15 + -0.5

Combine like terms: 3.15 + -0.5 = 2.65
1.25a = 2.65

Divide each side by '1.25'.
a = 2.12

Simplifying
a = 2.12