Solution of the equation 3x = 90

To find the solution to the equation 3x = 90, we need to isolate the variable x. The equation states that three times a certain number x is equal to 90. We can solve this equation using basic algebraic operations.

Step 1: Setting up the equation
The given equation is 3x = 90. We want to solve for x, which represents the unknown number.

Step 2: Isolating the variable
To isolate the variable x, we need to get rid of the coefficient of 3. We can achieve this by dividing both sides of the equation by 3. This step is performed to maintain the equality of the equation.

3x / 3 = 90 / 3

Simplifying the equation gives us:

x = 30

Step 3: Checking the solution
To confirm if the solution is correct, we substitute the value of x back into the original equation and see if it holds true.

3(30) = 90

90 = 90

Since both sides of the equation are equal, we can conclude that the solution x = 30 is correct.

Summary
The solution to the equation 3x = 90 is x = 30. By dividing both sides of the equation by 3, we isolated the variable x and obtained the value that satisfies the equation. Substituting the solution back into the original equation confirms its validity.