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Solve for 
x.

(2x+1)/(4)-(2x+1)/(36)=-2
Answer:

Solve for x \mathrm{x} .\newline2x+142x+136=2 \frac{2 x+1}{4}-\frac{2 x+1}{36}=-2 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} .\newline2x+142x+136=2 \frac{2 x+1}{4}-\frac{2 x+1}{36}=-2 \newlineAnswer:
  1. Identify common denominator: Identify the common denominator for the fractions.\newlineThe denominators are 44 and 3636. The least common multiple of 44 and 3636 is 3636. This will be the common denominator.
  2. Multiply by common denominator: Multiply each term by the common denominator to clear the fractions.\newlineMultiplying the entire equation by 3636 gives us:\newline36×2x+1436×2x+136=36×(2)36 \times \frac{2x+1}{4} - 36 \times \frac{2x+1}{36} = 36 \times (-2)
  3. Simplify by canceling denominators: Simplify the equation by canceling out the denominators.\newline(364)×(2x+1)(3636)×(2x+1)=72(\frac{36}{4}) \times (2x+1) - (\frac{36}{36}) \times (2x+1) = -72\newlineThis simplifies to:\newline9×(2x+1)(2x+1)=729 \times (2x+1) - (2x+1) = -72
  4. Distribute coefficients into parentheses: Distribute the coefficients into the parentheses.\newline18x+92x1=7218x + 9 - 2x - 1 = -72
  5. Combine like terms: Combine like terms on the left side of the equation.\newline(18x2x)+(91)=72(18x - 2x) + (9 - 1) = -72\newline16x+8=7216x + 8 = -72
  6. Subtract to isolate xx: Subtract 88 from both sides of the equation to isolate the term with xx.16x+88=72816x + 8 - 8 = -72 - 816x=8016x = -80
  7. Divide to solve for x: Divide both sides by 1616 to solve for x.\newline16x16=8016\frac{16x}{16} = \frac{-80}{16}\newlinex=5x = -5