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15x−4=2x\frac{15}{x}-4=\frac{2}{x}

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Add and subtract rational numbersright chevron icon

Full solution

Q. 15x−4=2x\frac{15}{x}-4=\frac{2}{x}
  1. Combine Like Terms: Combine like terms by moving the terms with xx to one side of the equation.\newline15x−2x=4\frac{15}{x} - \frac{2}{x} = 4
  2. Combine with Same Denominator: Since both terms on the left side of the equation have the same denominator, combine them by subtracting the numerators.15−2x=4\frac{15 - 2}{x} = 4
  3. Simplify Numerator: Simplify the numerator. (13)/(x)=4(13)/(x) = 4
  4. Multiply by xx: To solve for xx, multiply both sides of the equation by xx to get rid of the fraction.\newlinex×13x=4×xx \times \frac{13}{x} = 4 \times x
  5. Cancel out x: On the left side, the xx in the numerator and the denominator cancel out, leaving us with 13=4x13 = 4x.13=4x13 = 4x
  6. Divide by 44: Divide both sides of the equation by 44 to solve for xx.x=134x = \frac{13}{4}

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