.25(a-12)=1.25(a+6)

Solution for .25(a-12)=1.25(a+6) equation:

Simplifying
0.25(a + -12) = 1.25(a + 6)

Reorder the terms:
0.25(-12 + a) = 1.25(a + 6)
(-12 * 0.25 + a * 0.25) = 1.25(a + 6)
(-3 + 0.25a) = 1.25(a + 6)

Reorder the terms:
-3 + 0.25a = 1.25(6 + a)
-3 + 0.25a = (6 * 1.25 + a * 1.25)
-3 + 0.25a = (7.5 + 1.25a)

Solving
-3 + 0.25a = 7.5 + 1.25a

Solving for variable 'a'.

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

Add '-1.25a' to each side of the equation.
-3 + 0.25a + -1.25a = 7.5 + 1.25a + -1.25a

Combine like terms: 0.25a + -1.25a = -1a
-3 + -1a = 7.5 + 1.25a + -1.25a

Combine like terms: 1.25a + -1.25a = 0.00
-3 + -1a = 7.5 + 0.00
-3 + -1a = 7.5

Add '3' to each side of the equation.
-3 + 3 + -1a = 7.5 + 3

Combine like terms: -3 + 3 = 0
0 + -1a = 7.5 + 3
-1a = 7.5 + 3

Combine like terms: 7.5 + 3 = 10.5
-1a = 10.5

Divide each side by '-1'.
a = -10.5

Simplifying
a = -10.5