In an equation of the form

we can multiply both sides by bd to get the equation
ad = bc.
This is known by many names: cross-multiplying, taking cross-products, the means-extremes property, or the reciprocal property.
Example:
Solve for x.
Use the means-extremes property to get a simpler equation.
3(9) = 7(x + 1)
Now simplify and solve.
27 = 7x + 7
7x = 20
