2.5a-6=1.12a-1.86

Solution for 2.5a-6=1.12a-1.86 equation:

Simplifying
2.5a + -6 = 1.12a + -1.86

Reorder the terms:
-6 + 2.5a = 1.12a + -1.86

Reorder the terms:
-6 + 2.5a = -1.86 + 1.12a

Solving
-6 + 2.5a = -1.86 + 1.12a

Solving for variable 'a'.

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

Add '-1.12a' to each side of the equation.
-6 + 2.5a + -1.12a = -1.86 + 1.12a + -1.12a

Combine like terms: 2.5a + -1.12a = 1.38a
-6 + 1.38a = -1.86 + 1.12a + -1.12a

Combine like terms: 1.12a + -1.12a = 0.00
-6 + 1.38a = -1.86 + 0.00
-6 + 1.38a = -1.86

Add '6' to each side of the equation.
-6 + 6 + 1.38a = -1.86 + 6

Combine like terms: -6 + 6 = 0
0 + 1.38a = -1.86 + 6
1.38a = -1.86 + 6

Combine like terms: -1.86 + 6 = 4.14
1.38a = 4.14

Divide each side by '1.38'.
a = 3

Simplifying
a = 3