x(a+3b)=n+3bx

Solution for x(a+3b)=n+3bx equation:

Simplifying
x(a + 3b) = n + 3bx
(a * x + 3b * x) = n + 3bx
(ax + 3bx) = n + 3bx

Reorder the terms:
ax + 3bx = 3bx + n

Add '-3bx' to each side of the equation.
ax + 3bx + -3bx = 3bx + -3bx + n

Combine like terms: 3bx + -3bx = 0
ax + 0 = 3bx + -3bx + n
ax = 3bx + -3bx + n

Combine like terms: 3bx + -3bx = 0
ax = 0 + n
ax = n

Solving
ax = n

Solving for variable 'a'.

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

Divide each side by 'x'.
a = nx-1

Simplifying
a = nx-1