How many question 2x / 3 * 100/9 equals to 5x find x

Mathematics

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Answer

0

Step-by-step solution

5 steps

Here's how to solve for xx:

  1. Multiply the fractions on the left side of the equation.

    2x3×1009=5x\frac{2x}{3} \times \frac{100}{9} = 5x 2x×1003×9=5x\frac{2x \times 100}{3 \times 9} = 5x 200x27=5x\frac{200x}{27} = 5x

  2. Rearrange the equation to solve for xx.

    Subtract 5x5x from both sides to set the equation to zero.

    200x27−5x=0\frac{200x}{27} - 5x = 0

  3. Find a common denominator to combine the terms with xx.

    The common denominator for 27 and 1 is 27.

    200x27−5x×2727=0\frac{200x}{27} - \frac{5x \times 27}{27} = 0 200x27−135x27=0\frac{200x}{27} - \frac{135x}{27} = 0 200x−135x27=0\frac{200x - 135x}{27} = 0 65x27=0\frac{65x}{27} = 0

  4. Multiply both sides by 27 to isolate $65x$.

    65x=0×2765x = 0 \times 27 65x=065x = 0

  5. Divide by 65 to find the value of xx.

    x=065x = \frac{0}{65} x=0x = 0

    The value of xx is 0\boxed{0}.

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