12-0.3(a-2)=0.5(11a-2)

Solution for 12-0.3(a-2)=0.5(11a-2) equation:

Simplifying
12 + -0.3(a + -2) = 0.5(11a + -2)

Reorder the terms:
12 + -0.3(-2 + a) = 0.5(11a + -2)
12 + (-2 * -0.3 + a * -0.3) = 0.5(11a + -2)
12 + (0.6 + -0.3a) = 0.5(11a + -2)

Combine like terms: 12 + 0.6 = 12.6
12.6 + -0.3a = 0.5(11a + -2)

Reorder the terms:
12.6 + -0.3a = 0.5(-2 + 11a)
12.6 + -0.3a = (-2 * 0.5 + 11a * 0.5)
12.6 + -0.3a = (-1 + 5.5a)

Solving
12.6 + -0.3a = -1 + 5.5a

Solving for variable 'a'.

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

Add '-5.5a' to each side of the equation.
12.6 + -0.3a + -5.5a = -1 + 5.5a + -5.5a

Combine like terms: -0.3a + -5.5a = -5.8a
12.6 + -5.8a = -1 + 5.5a + -5.5a

Combine like terms: 5.5a + -5.5a = 0.0
12.6 + -5.8a = -1 + 0.0
12.6 + -5.8a = -1

Add '-12.6' to each side of the equation.
12.6 + -12.6 + -5.8a = -1 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + -5.8a = -1 + -12.6
-5.8a = -1 + -12.6

Combine like terms: -1 + -12.6 = -13.6
-5.8a = -13.6

Divide each side by '-5.8'.
a = 2.344827586

Simplifying
a = 2.344827586