Question

How to solve b(5px-3c)=a(qx-4) for x

Answer 1

We want to determine x from the expression
b(5px - 3c) = a(qx - 4)

Expand each side.
5bpx - 3bc = aqx - 4a

Subtract aqx from each side.
5bpx - aqx - 3bc = - 4a
x(5bp - aq) - 3bc = - 4a

Add  3bc to each side.
x(5bp - aq) = 3bc - 4a

Divide each side by 5bp - aq
x = (3bc - 4a)/(5bp - aq)

Answer:  $x= \frac{3bc-4a}{5bp-aq}$