Question

Solve for x:
ax+b
----- = 2
cx+d

Answer 1

ax+b = 2?

Answer 2

no this is the equation:
\[\frac{ ax+b }{ cx+d } = 2\]

Answer 3

multiply both sides by cx+d

ax+b = 2(cx+d)

distribute the 2

ax+b = 2cx+2d

gather the x terms on the left and the rest on the right

ax-2cx = 2d-b

factor out the x

x(a-2c) = 2d-b

solve for x

x = (2d-b)/(a-2c)

note: cx+d cant equal 0 because of our first step.