8.1a+2.3=5.1a-31

Solution for 8.1a+2.3=5.1a-31 equation:

Simplifying
8.1a + 2.3 = 5.1a + -31

Reorder the terms:
2.3 + 8.1a = 5.1a + -31

Reorder the terms:
2.3 + 8.1a = -31 + 5.1a

Solving
2.3 + 8.1a = -31 + 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.
2.3 + 8.1a + -5.1a = -31 + 5.1a + -5.1a

Combine like terms: 8.1a + -5.1a = 3a
2.3 + 3a = -31 + 5.1a + -5.1a

Combine like terms: 5.1a + -5.1a = 0.0
2.3 + 3a = -31 + 0.0
2.3 + 3a = -31

Add '-2.3' to each side of the equation.
2.3 + -2.3 + 3a = -31 + -2.3

Combine like terms: 2.3 + -2.3 = 0.0
0.0 + 3a = -31 + -2.3
3a = -31 + -2.3

Combine like terms: -31 + -2.3 = -33.3
3a = -33.3

Divide each side by '3'.
a = -11.1

Simplifying
a = -11.1