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Solve for x. (x+4)/(x-6)=(9)/(4) Answer:

Solve for x \mathrm{x} .\newlinex+4x−6=94 \frac{x+4}{x-6}=\frac{9}{4} \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newlinex+4x−6=94 \frac{x+4}{x-6}=\frac{9}{4} \newlineAnswer:
  1. Cross-multiply fractions: Cross-multiply to eliminate the fractions. (x+4)×4=(x−6)×9(x + 4) \times 4 = (x - 6) \times 9
  2. Distribute numbers: Distribute the numbers on both sides. 4x+16=9x−544x + 16 = 9x - 54
  3. Move terms and constants: Move all xx terms to one side and constants to the other side.4x−9x=−54−164x - 9x = -54 - 16
  4. Combine like terms: Combine like terms.\newline−5x=−70-5x = -70
  5. Divide to solve: Divide both sides by −5-5 to solve for xx.x=−70−5x = \frac{-70}{-5}
  6. Calculate value: Calculate the value of xx.x=14x = 14

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