2a-21.4=a+1.6

Solution for 2a-21.4=a+1.6 equation:

Simplifying
2a + -21.4 = a + 1.6

Reorder the terms:
-21.4 + 2a = a + 1.6

Reorder the terms:
-21.4 + 2a = 1.6 + a

Solving
-21.4 + 2a = 1.6 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-21.4 + 2a + -1a = 1.6 + a + -1a

Combine like terms: 2a + -1a = 1a
-21.4 + 1a = 1.6 + a + -1a

Combine like terms: a + -1a = 0
-21.4 + 1a = 1.6 + 0
-21.4 + 1a = 1.6

Add '21.4' to each side of the equation.
-21.4 + 21.4 + 1a = 1.6 + 21.4

Combine like terms: -21.4 + 21.4 = 0.0
0.0 + 1a = 1.6 + 21.4
1a = 1.6 + 21.4

Combine like terms: 1.6 + 21.4 = 23
1a = 23

Divide each side by '1'.
a = 23

Simplifying
a = 23