2.4a-89=4.1a-102.6

Solution for 2.4a-89=4.1a-102.6 equation:

Simplifying
2.4a + -89 = 4.1a + -102.6

Reorder the terms:
-89 + 2.4a = 4.1a + -102.6

Reorder the terms:
-89 + 2.4a = -102.6 + 4.1a

Solving
-89 + 2.4a = -102.6 + 4.1a

Solving for variable 'a'.

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

Add '-4.1a' to each side of the equation.
-89 + 2.4a + -4.1a = -102.6 + 4.1a + -4.1a

Combine like terms: 2.4a + -4.1a = -1.7a
-89 + -1.7a = -102.6 + 4.1a + -4.1a

Combine like terms: 4.1a + -4.1a = 0.0
-89 + -1.7a = -102.6 + 0.0
-89 + -1.7a = -102.6

Add '89' to each side of the equation.
-89 + 89 + -1.7a = -102.6 + 89

Combine like terms: -89 + 89 = 0
0 + -1.7a = -102.6 + 89
-1.7a = -102.6 + 89

Combine like terms: -102.6 + 89 = -13.6
-1.7a = -13.6

Divide each side by '-1.7'.
a = 8

Simplifying
a = 8