5/6 = 20/x, Solve for x

Solve 5/6 = 20/x

How to solve 5/6 = 20/x? Get the answer and stepwise instruction to solve linear equation in one variable 𝒙.

We have 5/6 = 20/x

Cross multiplying the ratios, gives

5x = 6 × 20

Divide both sides by 5, which is the coefficient of x
Note: if a = b, then a ÷ c = b ÷ c

Therefore, 5x/5 = 6 × 20/5

x = 120/5

To simplify, divide both numerator and denominator by 5, which is the GCF of 120 and 5:

x = 24/1 or, x = 24