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Solve for x. (3x+8)/(4)=(x-1)/(9) Answer:

Solve for x \mathrm{x} .\newline3x+84=x−19 \frac{3 x+8}{4}=\frac{x-1}{9} \newlineAnswer:

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Solve equations with the distributive propertyright chevron icon

Full solution

Q. Solve for x \mathrm{x} .\newline3x+84=x−19 \frac{3 x+8}{4}=\frac{x-1}{9} \newlineAnswer:
  1. Cross Multiply Fractions: Cross multiply to eliminate the fractions.\newlineMultiply both sides of the equation by the denominators 44 and 99 to get rid of the fractions.\newline(3x+8)×9=(x−1)×4(3x + 8) \times 9 = (x - 1) \times 4
  2. Distribute Multiplication: Distribute the multiplication over addition on both sides.\newline27x+72=4x−427x + 72 = 4x - 4
  3. Combine Like Terms: Get all terms with xx on one side and constants on the other side.\newlineSubtract 4x4x from both sides to move the xx terms to one side.\newline27x−4x+72=4x−4x−427x - 4x + 72 = 4x - 4x - 4
  4. Simplify Equation: Simplify both sides of the equation. 23x+72=−423x + 72 = -4
  5. Move Constant Term: Move the constant term on the xx side to the other side.\newlineSubtract 7272 from both sides to isolate the xx term.\newline23x+72−72=−4−7223x + 72 - 72 = -4 - 72
  6. Isolate X Term: Simplify the equation to find the value of xx.23x=−7623x = -76
  7. Divide by Coefficient: Divide both sides by the coefficient of xx to solve for xx.x=−7623x = \frac{-76}{23}

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