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

Solution for 1.5-0.25(a+4)=3(0.05-0.5a) 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)
0.5 + -0.25a = (0.05 * 3 + -0.5a * 3)
0.5 + -0.25a = (0.15 + -1.5a)

Solving
0.5 + -0.25a = 0.15 + -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 = 0.15 + -1.5a + 1.5a

Combine like terms: -0.25a + 1.5a = 1.25a
0.5 + 1.25a = 0.15 + -1.5a + 1.5a

Combine like terms: -1.5a + 1.5a = 0.0
0.5 + 1.25a = 0.15 + 0.0
0.5 + 1.25a = 0.15

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1.25a = 0.15 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1.25a = 0.15 + -0.5
1.25a = 0.15 + -0.5

Combine like terms: 0.15 + -0.5 = -0.35
1.25a = -0.35

Divide each side by '1.25'.
a = -0.28

Simplifying
a = -0.28