11.6a+4.2=5.1a+43.2

Solution for 11.6a+4.2=5.1a+43.2 equation:

Simplifying
11.6a + 4.2 = 5.1a + 43.2

Reorder the terms:
4.2 + 11.6a = 5.1a + 43.2

Reorder the terms:
4.2 + 11.6a = 43.2 + 5.1a

Solving
4.2 + 11.6a = 43.2 + 5.1a

Solving for variable 'a'.

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

Add '-5.1a' to each side of the equation.
4.2 + 11.6a + -5.1a = 43.2 + 5.1a + -5.1a

Combine like terms: 11.6a + -5.1a = 6.5a
4.2 + 6.5a = 43.2 + 5.1a + -5.1a

Combine like terms: 5.1a + -5.1a = 0.0
4.2 + 6.5a = 43.2 + 0.0
4.2 + 6.5a = 43.2

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 6.5a = 43.2 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 6.5a = 43.2 + -4.2
6.5a = 43.2 + -4.2

Combine like terms: 43.2 + -4.2 = 39
6.5a = 39

Divide each side by '6.5'.
a = 6

Simplifying
a = 6