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Let’s check out your problem:

(5x-3)/(2)+(7)/(4)=(7x-3)/(6)+(5)/(2)

5x−32+74=7x−36+52 \frac{5 x-3}{2}+\frac{7}{4}=\frac{7 x-3}{6}+\frac{5}{2}

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Full solution

Q. 5x−32+74=7x−36+52 \frac{5 x-3}{2}+\frac{7}{4}=\frac{7 x-3}{6}+\frac{5}{2}
  1. Clear Fractions: Step 11: Clear the fractions by finding a common denominator for all terms, which is 1212. Multiply each term by 1212 to eliminate the denominators: 12×5x−32+12×74=12×7x−36+12×5212 \times \frac{5x - 3}{2} + 12 \times \frac{7}{4} = 12 \times \frac{7x - 3}{6} + 12 \times \frac{5}{2}
  2. Simplify Terms: Step 22: Simplify each term:\newline(122)⋅(5x−3)+(124)⋅7=(126)⋅(7x−3)+(122)⋅5(\frac{12}{2}) \cdot (5x - 3) + (\frac{12}{4}) \cdot 7 = (\frac{12}{6}) \cdot (7x - 3) + (\frac{12}{2}) \cdot 5\newline6(5x−3)+3⋅7=2(7x−3)+6⋅56(5x - 3) + 3 \cdot 7 = 2(7x - 3) + 6 \cdot 5
  3. Combine Like Terms: Step 33: Distribute and combine like terms:\newline30x−18+21=14x−6+3030x - 18 + 21 = 14x - 6 + 30\newline30x+3=14x+2430x + 3 = 14x + 24
  4. Isolate xx: Step 44: Isolate xx on one side:\newline30x−14x=24−330x - 14x = 24 - 3\newline16x=2116x = 21
  5. Solve for x: Step 55: Solve for x:\newlinex=2116x = \frac{21}{16}

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