0.3(a+4)=0.2(8-a)

Solution for 0.3(a+4)=0.2(8-a) equation:

Simplifying
0.3(a + 4) = 0.2(8 + -1a)

Reorder the terms:
0.3(4 + a) = 0.2(8 + -1a)
(4 * 0.3 + a * 0.3) = 0.2(8 + -1a)
(1.2 + 0.3a) = 0.2(8 + -1a)
1.2 + 0.3a = (8 * 0.2 + -1a * 0.2)
1.2 + 0.3a = (1.6 + -0.2a)

Solving
1.2 + 0.3a = 1.6 + -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.
1.2 + 0.3a + 0.2a = 1.6 + -0.2a + 0.2a

Combine like terms: 0.3a + 0.2a = 0.5a
1.2 + 0.5a = 1.6 + -0.2a + 0.2a

Combine like terms: -0.2a + 0.2a = 0.0
1.2 + 0.5a = 1.6 + 0.0
1.2 + 0.5a = 1.6

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.5a = 1.6 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.5a = 1.6 + -1.2
0.5a = 1.6 + -1.2

Combine like terms: 1.6 + -1.2 = 0.4
0.5a = 0.4

Divide each side by '0.5'.
a = 0.8

Simplifying
a = 0.8