To find the value of \(x\) that makes the equation \(1.25(4x-10)=7.5\) true, we need to solve for \(x\) by following these steps:
1. Expand the left side of the equation:
\(1.25(4x-10) = 5x - 12.5\)
2. Set up the equation:
\(5x - 12.5 = 7.5\)
3. Add 12.5 to both sides:
\(5x = 20\)
4. Divide by 5 to solve for \(x\):
\(x = 4\)
Therefore, the value of \(x\) that makes the equation \(1.25(4x-10)=7.5\) true is \(x = 4\).
