Ask a New Question
Menu

How many solutions does this equation have?





4x-10/2 = 2x − 5

1 answer

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.