Solving the Equation 5x = 35

To solve the equation 5x = 35, we need to isolate the variable x on one side of the equation. This can be done by performing certain arithmetic operations to both sides of the equation in order to maintain its equality.

Step 1: Identify the Operation
The equation 5x = 35 involves multiplication. We can solve for x by performing the inverse operation, which is division, to both sides of the equation.

Step 2: Divide Both Sides by 5
To isolate the variable x, we divide both sides of the equation by the coefficient of x, which in this case is 5. By doing so, we maintain the equality of the equation.

5x/5 = 35/5

Simplifying the left side of the equation, we cancel out the 5's:

x = 35/5

Step 3: Simplify the Right Side
To further simplify the equation, we divide 35 by 5:

x = 7

Step 4: Final Solution
The solution to the equation 5x = 35 is x = 7. This means that when x is equal to 7, the equation is satisfied and both sides of the equation are equal.

Summary
In summary, to solve the equation 5x = 35, we divided both sides of the equation by 5 in order to isolate the variable x. By simplifying the equation, we found that x is equal to 7.