easy
make denomenators the same
Step 1
multiply both sidesby (x)(c)(b+c)
(a)(c)(b+c)+(b)(x)(b+c)=(a)(x)(c)
Step 2
distribute
acb+ac²+xb²+bxc=axc
Step 3
minus (acb+ac²) from both sides
xb²+bxc=axc-acb-ac²
Step 4
minus axc from both sides
xb²+bxc-axc=-acb-ac²
Step 5
undistribute x
x(b²+bc-ac)=-acb-ac²
Step 6
divide both sides by (b²+bc-ac)
\(x= \frac{-acb-ac^2}{b^2+bc-ac} =\frac{acb+ac^2}{ac-b^2-bc}\)
