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Find xx.x3=8\frac{x}{3}=8

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Add, subtract, multiply, or divide two integersright chevron icon

Full solution

Q. Find xx.x3=8\frac{x}{3}=8
  1. Identify Equation: Identify the equation that needs to be solved. The equation given is (x3)=8(\frac{x}{3}) = 8. We need to find the value of xx.
  2. Isolate xx: To solve for xx, we need to isolate xx on one side of the equation. This can be done by multiplying both sides of the equation by 33, which is the denominator of the fraction.
  3. Multiply by 33: Multiply both sides of the equation by 33. Doing this, we get 3×x3=3×83 \times \frac{x}{3} = 3 \times 8.
  4. Simplify Equation: Simplify both sides of the equation. On the left side, the 33 in the numerator and the 33 in the denominator cancel each other out, leaving us with xx. On the right side, 3×83 \times 8 equals 2424. So we have x=24x = 24.
  5. Check Solution: Check the solution by substituting the value of xx back into the original equation to ensure that it satisfies the equation. 243\frac{24}{3} should equal 88.
  6. Verify Solution: Calculate (24)/(3)(24)/(3) to verify the solution. (24)/(3)=8(24)/(3) = 8, which is true. Therefore, x=24x = 24 is the correct solution.

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