0.1(a+1)=0.2(2-a)

Solution for 0.1(a+1)=0.2(2-a) equation:

Simplifying
0.1(a + 1) = 0.2(2 + -1a)

Reorder the terms:
0.1(1 + a) = 0.2(2 + -1a)
(1 * 0.1 + a * 0.1) = 0.2(2 + -1a)
(0.1 + 0.1a) = 0.2(2 + -1a)
0.1 + 0.1a = (2 * 0.2 + -1a * 0.2)
0.1 + 0.1a = (0.4 + -0.2a)

Solving
0.1 + 0.1a = 0.4 + -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.
0.1 + 0.1a + 0.2a = 0.4 + -0.2a + 0.2a

Combine like terms: 0.1a + 0.2a = 0.3a
0.1 + 0.3a = 0.4 + -0.2a + 0.2a

Combine like terms: -0.2a + 0.2a = 0.0
0.1 + 0.3a = 0.4 + 0.0
0.1 + 0.3a = 0.4

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.3a = 0.4 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.3a = 0.4 + -0.1
0.3a = 0.4 + -0.1

Combine like terms: 0.4 + -0.1 = 0.3
0.3a = 0.3

Divide each side by '0.3'.
a = 1

Simplifying
a = 1