Solving Equations by Multiplying or Dividing Both Sides by the Same Number

🏆Practice solution of an equation by multiplying/dividing both sides

With this method, we can multiply or divide both sides of the equation by the same element without thereby altering the overall value of the equation. This means that the final result of the equation will not be affected because we have multiplied or divided both sides by the same element or number. 

Start practice

Test yourself on solution of an equation by multiplying/dividing both sides!

einstein

\( 13-2x=0 \)

Practice more now

Below, we provide you with some examples where we apply this method.

Example 1

3X=24 3X=24

We solve the equation and find the numerical value of X X by dividing both sides of the equation by the number 3 3 .

In this way, we neutralize and isolate the X X on the left side of the equation, while on the right side we obtain the result of the equation.

3X=24 3X=24 / :3 :3

X=8 X=8

The result of the equation is 8 8 .


Example 2

X2=5 \frac{X}{2}=5

We solve the equation and find the numerical value of X by multiplying both sides of the equation by the number 2. This way, we neutralize and isolate X on the left side of the equation, while on the right side we obtain the result of the equation.

X2=5 \frac{X}{2}=5  / ×2 \times2

X=10 X=10

The result of the equation is 10 10 .


Join Over 30,000 Students Excelling in Math!
Endless Practice, Expert Guidance - Elevate Your Math Skills Today
Test your knowledge
Start practice