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Let’s check out your problem:

Solve for x: (3x+9)/(2)=(1x+4)/(8)

Solve for x: 3x+92=x+48\frac{3x+9}{2}=\frac{x+4}{8}

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Full solution

Q. Solve for x: 3x+92=x+48\frac{3x+9}{2}=\frac{x+4}{8}
  1. Cross-multiply fractions: Cross-multiply to eliminate the fractions.\newline(3x+9)×8=(x+4)×2(3x + 9) \times 8 = (x + 4) \times 2
  2. Distribute multiplication over addition: Distribute the multiplication over addition on both sides.\newline24x+72=2x+824x + 72 = 2x + 8
  3. Subtract to combine xx terms: Subtract 2x2x from both sides to get all xx terms on one side.\newline24x−2x+72=824x - 2x + 72 = 8\newline22x+72=822x + 72 = 8
  4. Isolate xx term by subtraction: Subtract 7272 from both sides to isolate the xx term.\newline22x=8−7222x = 8 - 72\newline22x=−6422x = -64
  5. Solve for x by division: Divide both sides by 2222 to solve for xx.\newlinex=−64/22x = -64 / 22\newlinex=−32/11x = -32 / 11

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