1.5a-21=3.9a-40a-2

Solution for 1.5a-21=3.9a-40a-2 equation:

Simplifying
1.5a + -21 = 3.9a + -40a + -2

Reorder the terms:
-21 + 1.5a = 3.9a + -40a + -2

Reorder the terms:
-21 + 1.5a = -2 + 3.9a + -40a

Combine like terms: 3.9a + -40a = -36.1a
-21 + 1.5a = -2 + -36.1a

Solving
-21 + 1.5a = -2 + -36.1a

Solving for variable 'a'.

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

Add '36.1a' to each side of the equation.
-21 + 1.5a + 36.1a = -2 + -36.1a + 36.1a

Combine like terms: 1.5a + 36.1a = 37.6a
-21 + 37.6a = -2 + -36.1a + 36.1a

Combine like terms: -36.1a + 36.1a = 0.0
-21 + 37.6a = -2 + 0.0
-21 + 37.6a = -2

Add '21' to each side of the equation.
-21 + 21 + 37.6a = -2 + 21

Combine like terms: -21 + 21 = 0
0 + 37.6a = -2 + 21
37.6a = -2 + 21

Combine like terms: -2 + 21 = 19
37.6a = 19

Divide each side by '37.6'.
a = 0.5053191489

Simplifying
a = 0.5053191489