8.1a+2.5=5.1a-3.1

Solution for 8.1a+2.5=5.1a-3.1 equation:

Simplifying
8.1a + 2.5 = 5.1a + -3.1

Reorder the terms:
2.5 + 8.1a = 5.1a + -3.1

Reorder the terms:
2.5 + 8.1a = -3.1 + 5.1a

Solving
2.5 + 8.1a = -3.1 + 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.
2.5 + 8.1a + -5.1a = -3.1 + 5.1a + -5.1a

Combine like terms: 8.1a + -5.1a = 3a
2.5 + 3a = -3.1 + 5.1a + -5.1a

Combine like terms: 5.1a + -5.1a = 0.0
2.5 + 3a = -3.1 + 0.0
2.5 + 3a = -3.1

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 3a = -3.1 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 3a = -3.1 + -2.5
3a = -3.1 + -2.5

Combine like terms: -3.1 + -2.5 = -5.6
3a = -5.6

Divide each side by '3'.
a = -1.866666667

Simplifying
a = -1.866666667