bx-a=5a+c

Solution for bx-a=5a+c equation:

Simplifying
bx + -1a = 5a + c

Reorder the terms:
-1a + bx = 5a + c

Solving
-1a + bx = 5a + c

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-1a + -5a + bx = 5a + -5a + c

Combine like terms: -1a + -5a = -6a
-6a + bx = 5a + -5a + c

Combine like terms: 5a + -5a = 0
-6a + bx = 0 + c
-6a + bx = c

Add '-1bx' to each side of the equation.
-6a + bx + -1bx = -1bx + c

Combine like terms: bx + -1bx = 0
-6a + 0 = -1bx + c
-6a = -1bx + c

Divide each side by '-6'.
a = 0.1666666667bx + -0.1666666667c

Simplifying
a = 0.1666666667bx + -0.1666666667c