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(2x+34)=(x+73)\left(\frac{2x+3}{4}\right)=\left(\frac{x+7}{3}\right)

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Full solution

Q. (2x+34)=(x+73)\left(\frac{2x+3}{4}\right)=\left(\frac{x+7}{3}\right)
  1. Write Equation: Write down the equation.\newline rac{2x+3}{4}=\frac{x+7}{3}\newlineWe need to find the value of xx that satisfies this equation.
  2. Cross-Multiply: Cross-multiply to eliminate the fractions.\newline(2x+3)×3=(x+7)×4(2x + 3) \times 3 = (x + 7) \times 4\newlineThis step involves cross-multiplication to get rid of the denominators.
  3. Distribute Multiplication: Distribute the multiplication over addition on both sides.\newline(2x×3)+(3×3)=(x×4)+(7×4)(2x \times 3) + (3 \times 3) = (x \times 4) + (7 \times 4)\newlineThis step simplifies the equation by multiplying the terms.
  4. Perform Multiplications: Perform the multiplications.\newline6x+9=4x+286x + 9 = 4x + 28\newlineThis step calculates the products of the multiplications.
  5. Move Terms: Move the terms containing xx to one side and constant terms to the other side.6x−4x=28−96x - 4x = 28 - 9 This step involves subtracting 4x4x from both sides and subtracting 99 from both sides to isolate the variable xx.
  6. Simplify Equation: Simplify both sides of the equation. 2x=192x = 19 This step combines like terms to simplify the equation further.
  7. Divide to Solve: Divide both sides by 22 to solve for xx.\newlinex=192x = \frac{19}{2}\newlineThis step isolates xx to find its value.

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