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10. solve for x in the following equation: \\(\\frac{x}{4} + \\frac{n}{…

Question

  1. solve for x in the following equation:

\\(\frac{x}{4} + \frac{n}{9} = 5\\)
enter your next step here

Explanation:

Step1: Subtract $\frac{n}{9}$ from both sides

To isolate the term with \( x \), we subtract \(\frac{n}{9}\) from both sides of the equation. So we have \(\frac{x}{4}+\frac{n}{9}-\frac{n}{9}=5 - \frac{n}{9}\), which simplifies to \(\frac{x}{4}=5-\frac{n}{9}\).

Step2: Multiply both sides by 4

To solve for \( x \), we multiply both sides of the equation \(\frac{x}{4}=5 - \frac{n}{9}\) by 4. Using the distributive property on the right - hand side, we get \( x = 4\times5-4\times\frac{n}{9}\), which simplifies to \( x = 20-\frac{4n}{9}\).

Answer:

\(x = 20-\frac{4n}{9}\)