Question

\(\dfrac{1}{2}x\) + \(2\dfrac{1}{2}\) = \(3\dfrac{1}{2}\)x - \(\dfrac{3}{4}\)

Answer 1

\(\dfrac{1}{2}x+2\dfrac{1}{2}=3\dfrac{1}{2}x-\dfrac{3}{4}\)

\(\dfrac{1}{2}x+\dfrac{5}{2}=\dfrac{7}{2}x-\dfrac{3}{4}\)

\(\dfrac{1}{2}x-\dfrac{7}{2}x=-\dfrac{3}{4}-\dfrac{5}{2}\)

\(\left(\dfrac{1}{2}-\dfrac{7}{2}\right)x=-\dfrac{13}{4}\)

\(-3x=-\dfrac{13}{4}\)

\(x=\left(-\dfrac{13}{4}\right):\left(-3\right)\)

\(x=\dfrac{13}{12}\)