Determine the value of x that makes the inequality true: $35>-5(4-x)$

Step 1 ：The inequality is \(35>-5(4-x)\).

Step 2 ：Distribute the \(-5\) to both terms inside the parentheses to get \(35>-20+5x\).

Step 3 ：Rearrange the inequality to isolate \(x\) on one side, resulting in \(5x>55\).

Step 4 ：Divide both sides by 5 to solve for \(x\), giving \(x>11\).

Step 5 ：Final Answer: The value of \(x\) that makes the inequality true is \(x > \boxed{11}\).