Question

How many solutions does this equation have?





4x-10/2 = 2x − 5

Answer 1

To solve the equation \(\frac{4x - 10}{2} = 2x - 5\), we will start by simplifying both sides.

1. **Simplify the left side**:
\[
\frac{4x - 10}{2} = 2x - 5
\]
The left side can be simplified:
\[
2x - 5 = 2x - 5
\]

2. **Compare both sides**:
After simplification, we see that both sides of the equation are exactly the same:
\[
2x - 5 = 2x - 5
\]

Since both sides of the equation are identical, it means that the equation holds true for any value of \(x\).

**Conclusion**:
The equation has infinitely many solutions. Any real number \(x\) will satisfy the equation.