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Solve the equation: (3x)/(4) = (4−8x)/(28)

Mathematics

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Answer

x=429x = \frac{4}{29}

Step-by-step solution

4 steps

  1. Write the given equation.

    3x4=4−8x28\frac{3x}{4} = \frac{4-8x}{28}

  2. Multiply both sides by the least common multiple of the denominators (4 and 28), which is 28, to eliminate the fractions.

    28⋅3x4=28⋅4−8x2828 \cdot \frac{3x}{4} = 28 \cdot \frac{4-8x}{28} 7⋅3x=4−8x7 \cdot 3x = 4-8x 21x=4−8x21x = 4-8x

  3. Add 8x8x to both sides of the equation to gather all terms with xx on one side.

    21x+8x=421x + 8x = 4 29x=429x = 4

  4. Divide both sides by 29 to solve for xx.

    x=429x = \frac{4}{29}
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