-0.3(a-0.5)=0.2(a-6)

Solution for -0.3(a-0.5)=0.2(a-6) equation:

Simplifying
-0.3(a + -0.5) = 0.2(a + -6)

Reorder the terms:
-0.3(-0.5 + a) = 0.2(a + -6)
(-0.5 * -0.3 + a * -0.3) = 0.2(a + -6)
(0.15 + -0.3a) = 0.2(a + -6)

Reorder the terms:
0.15 + -0.3a = 0.2(-6 + a)
0.15 + -0.3a = (-6 * 0.2 + a * 0.2)
0.15 + -0.3a = (-1.2 + 0.2a)

Solving
0.15 + -0.3a = -1.2 + 0.2a

Solving for variable 'a'.

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

Add '-0.2a' to each side of the equation.
0.15 + -0.3a + -0.2a = -1.2 + 0.2a + -0.2a

Combine like terms: -0.3a + -0.2a = -0.5a
0.15 + -0.5a = -1.2 + 0.2a + -0.2a

Combine like terms: 0.2a + -0.2a = 0.0
0.15 + -0.5a = -1.2 + 0.0
0.15 + -0.5a = -1.2

Add '-0.15' to each side of the equation.
0.15 + -0.15 + -0.5a = -1.2 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + -0.5a = -1.2 + -0.15
-0.5a = -1.2 + -0.15

Combine like terms: -1.2 + -0.15 = -1.35
-0.5a = -1.35

Divide each side by '-0.5'.
a = 2.7

Simplifying
a = 2.7