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Solve for x. (9)/(x-4)=(5)/(x-8) Answer:

Solve for x \mathrm{x} .\newline9x−4=5x−8 \frac{9}{x-4}=\frac{5}{x-8} \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newline9x−4=5x−8 \frac{9}{x-4}=\frac{5}{x-8} \newlineAnswer:
  1. Cross-multiply fractions: Cross-multiply to eliminate the fractions.\newline(9)(x−8)=(5)(x−4)(9)(x - 8) = (5)(x - 4)
  2. Distribute numbers: Distribute the numbers on both sides. 9x−72=5x−209x - 72 = 5x - 20
  3. Combine like terms: Bring all xx terms to one side and constants to the other side.9x−5x=−20+729x - 5x = -20 + 72
  4. Simplify equation: Simplify both sides.\newline4x=524x = 52
  5. Divide by 44: Divide both sides by 44 to solve for xx.x=524x = \frac{52}{4}
  6. Calculate final value: Calculate the value of xx.x=13x = 13

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