8.5=5.0+a(3.8)

Solution for 8.5=5.0+a(3.8) equation:

Simplifying
8.5 = 5.0 + a(3.8)

Reorder the terms for easier multiplication:
8.5 = 5.0 + 3.8a

Solving
8.5 = 5.0 + 3.8a

Solving for variable 'a'.

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

Add '-3.8a' to each side of the equation.
8.5 + -3.8a = 5.0 + 3.8a + -3.8a

Combine like terms: 3.8a + -3.8a = 0.0
8.5 + -3.8a = 5.0 + 0.0
8.5 + -3.8a = 5.0

Add '-8.5' to each side of the equation.
8.5 + -8.5 + -3.8a = 5.0 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -3.8a = 5.0 + -8.5
-3.8a = 5.0 + -8.5

Combine like terms: 5.0 + -8.5 = -3.5
-3.8a = -3.5

Divide each side by '-3.8'.
a = 0.9210526316

Simplifying
a = 0.9210526316