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Let’s check out your problem:

Solve for x. (9)/(3x)=(4)/(x+2)

Solve for xx.\newline93x=4x+2 \frac{9}{3 x}=\frac{4}{x+2}

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Full solution

Q. Solve for xx.\newline93x=4x+2 \frac{9}{3 x}=\frac{4}{x+2}
  1. Write Equation: Write down the equation.\newline93x=4x+2\frac{9}{3x} = \frac{4}{x+2}
  2. Cross Multiply: Cross multiply to eliminate the fractions.\newline9×(x+2)=4×(3x)9 \times (x + 2) = 4 \times (3x)
  3. Distribute Numbers: Distribute the numbers on both sides. 9x+18=12x9x + 18 = 12x
  4. Move Terms: Move all terms containing xx to one side of the equation.\newline9x−12x=−189x - 12x = -18
  5. Combine Terms: Combine like terms.\newline−3x=−18-3x = -18
  6. Divide and Solve: Divide both sides by −3-3 to solve for xx.x=−18−3x = \frac{-18}{-3}
  7. Calculate Value: Calculate the value of xx.x=6x = 6

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