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Solve for x. (x+1)/(3)=(x+7)/(5) Answer:

Solve for x \mathrm{x} .\newlinex+13=x+75 \frac{x+1}{3}=\frac{x+7}{5} \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newlinex+13=x+75 \frac{x+1}{3}=\frac{x+7}{5} \newlineAnswer:
  1. Cross-multiply fractions: Cross-multiply to eliminate the fractions.\newline(x+1)×5=(x+7)×3(x + 1) \times 5 = (x + 7) \times 3\newline5x+5=3x+215x + 5 = 3x + 21
  2. Rearrange terms: Move all terms containing xx to one side and constant terms to the other side.5x−3x=21−55x - 3x = 21 - 52x=162x = 16
  3. Divide to solve for xx: Divide both sides by 22 to solve for xx.2x2=162\frac{2x}{2} = \frac{16}{2}x=8x = 8

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