Final answer:
This solution demonstrates the step-by-step process for solving the given rational equation. The equation is simplified by cross-multiplying to eliminate fractions and then solving for x. The conclusion is that x equals 21.
Step-by-step explanation:
The subject of this question is a rational equation. To solve the equation (4)/(x+7) = (2)/(x-7), we first cross-multiply to remove the fractions:
4*(x-7) = 2*(x+7) Then we simplify the equation: 4x - 28 = 2x + 14
Let's subtract 2x from both sides:
2x - 28 = 14
Adding 28 to both sides gives:
2x = 42
Finally, we divide both sides by 2 to isolate x:
x = 21
Hence, the solution to the equation is x = 21.
Learn more about Solving Rational Equations