The difference between seven times a number and 9 is equal to four times the sum of the number and 5 . Find the number.
If $\mathrm{x}$ represents the number, which equation is correct for solving this problem?
Answer
Final Answer: The number is \(\boxed{\frac{29}{3}}\).
Step 1 ：Translate the problem into a mathematical equation. The statement 'seven times a number' can be represented as \(7x\). 'The difference between seven times a number and 9' can be represented as \(7x - 9\). 'Four times the sum of the number and 5' can be represented as \(4(x + 5)\). The problem states that these two expressions are equal, so the equation is \(7x - 9 = 4(x + 5)\).
Step 2 ：Solve the equation for \(x\).
Step 3 ：The solution to the equation is \(\frac{29}{3}\), which is the number we are looking for.
Step 4 ：Final Answer: The number is \(\boxed{\frac{29}{3}}\).
