What is the solution to the equation \( 5x = 35 \)?

To solve the equation ( 5x = 35 ), the goal is to isolate the variable ( x ).

Start by dividing both sides of the equation by 5, which is the coefficient of ( x ). This step simplifies the equation:

[ x = \frac{35}{5} ]

When you perform the division, you find:

[ x = 7 ]

Thus, the solution of the equation is ( x = 7 ). This means that when ( x ) equals 7, multiplying it by 5 gives you the original right side of the equation, which is 35. Therefore, substituting 7 back into the original equation confirms its correctness:

[ 5 \times 7 = 35 ]

This demonstrates that the calculation is accurate. The value 7 satisfies the equation, making it the correct solution.