-0.2(a-1)=0.5(a+5)

Solution for -0.2(a-1)=0.5(a+5) equation:

Simplifying
-0.2(a + -1) = 0.5(a + 5)

Reorder the terms:
-0.2(-1 + a) = 0.5(a + 5)
(-1 * -0.2 + a * -0.2) = 0.5(a + 5)
(0.2 + -0.2a) = 0.5(a + 5)

Reorder the terms:
0.2 + -0.2a = 0.5(5 + a)
0.2 + -0.2a = (5 * 0.5 + a * 0.5)
0.2 + -0.2a = (2.5 + 0.5a)

Solving
0.2 + -0.2a = 2.5 + 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.
0.2 + -0.2a + -0.5a = 2.5 + 0.5a + -0.5a

Combine like terms: -0.2a + -0.5a = -0.7a
0.2 + -0.7a = 2.5 + 0.5a + -0.5a

Combine like terms: 0.5a + -0.5a = 0.0
0.2 + -0.7a = 2.5 + 0.0
0.2 + -0.7a = 2.5

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.7a = 2.5 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.7a = 2.5 + -0.2
-0.7a = 2.5 + -0.2

Combine like terms: 2.5 + -0.2 = 2.3
-0.7a = 2.3

Divide each side by '-0.7'.
a = -3.285714286

Simplifying
a = -3.285714286