21.1a+4.6=10.9a+35.2

Solution for 21.1a+4.6=10.9a+35.2 equation:

Simplifying
21.1a + 4.6 = 10.9a + 35.2

Reorder the terms:
4.6 + 21.1a = 10.9a + 35.2

Reorder the terms:
4.6 + 21.1a = 35.2 + 10.9a

Solving
4.6 + 21.1a = 35.2 + 10.9a

Solving for variable 'a'.

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

Add '-10.9a' to each side of the equation.
4.6 + 21.1a + -10.9a = 35.2 + 10.9a + -10.9a

Combine like terms: 21.1a + -10.9a = 10.2a
4.6 + 10.2a = 35.2 + 10.9a + -10.9a

Combine like terms: 10.9a + -10.9a = 0.0
4.6 + 10.2a = 35.2 + 0.0
4.6 + 10.2a = 35.2

Add '-4.6' to each side of the equation.
4.6 + -4.6 + 10.2a = 35.2 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + 10.2a = 35.2 + -4.6
10.2a = 35.2 + -4.6

Combine like terms: 35.2 + -4.6 = 30.6
10.2a = 30.6

Divide each side by '10.2'.
a = 3

Simplifying
a = 3