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Solve for x. (5)/(3)-(1)/(3x)=2 Answer: x=

Solve for x x .\newline53−13x=2 \frac{5}{3}-\frac{1}{3 x}=2 \newlineAnswer: x= x=

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Solve equations with the distributive propertyright chevron icon

Full solution

Q. Solve for x x .\newline53−13x=2 \frac{5}{3}-\frac{1}{3 x}=2 \newlineAnswer: x= x=
  1. Combine fractions with common denominator: Combine the fractions on the left side of the equation by finding a common denominator.\newlineSince the denominators are already the same 33 and 3x3x, we can combine the fractions by multiplying the numerator of the second fraction by xx to have the same denominator.\newline53\frac{5}{3} - x3x\frac{x}{3x} = 22
  2. Simplify left side of equation: Simplify the left side of the equation.\newlineCombine the fractions over the common denominator 3x3x.\newline5x−13x=2\frac{5x - 1}{3x} = 2
  3. Multiply by 3x3x to eliminate fraction: Multiply both sides of the equation by 3x3x to eliminate the fraction.\newline5x−13x×3x=2×3x \frac{5x - 1}{3x} \times 3x = 2 \times 3x \newline5x−1=6x5x - 1 = 6x
  4. Isolate variable xx: Subtract 5x5x from both sides to isolate the variable xx on one side.\newline5x−1−5x=6x−5x5x - 1 - 5x = 6x - 5x\newline−1=x-1 = x

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