Solve the equation $\frac{2n}{x-4} = m$ for $x$.

AlgebraLinear EquationsVariable SolvingEquation Manipulation
2025/5/2

1. Problem Description

Solve the equation 2nx4=m\frac{2n}{x-4} = m for xx.

2. Solution Steps

We start with the equation 2nx4=m\frac{2n}{x-4} = m.
Multiply both sides of the equation by x4x-4:
2n=m(x4)2n = m(x-4)
Divide both sides of the equation by mm:
2nm=x4\frac{2n}{m} = x-4
Add 4 to both sides of the equation:
x=2nm+4x = \frac{2n}{m} + 4

3. Final Answer

x=2nm+4x = \frac{2n}{m} + 4

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