Question

2x - 3 = x + \(\dfrac{1}{2}\)

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

\(\dfrac{5}{12}x\) + 3 = \(\dfrac{1}{3}\) - \(\dfrac{7}{12}x\)

 

Answer 1

a.

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

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

\(x=\dfrac{7}{2}\)

b.

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

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

\(\dfrac{1}{6}x=\dfrac{1}{15}\)

\(x=\dfrac{1}{15}:\dfrac{1}{6}\)

\(x=\dfrac{2}{5}\)

c.

\(\dfrac{5}{12}x+3=\dfrac{1}{3}-\dfrac{7}{12}x\)

\(\dfrac{5}{12}x+\dfrac{7}{12}x=\dfrac{1}{3}-3\)

\(\dfrac{12}{12}x=-\dfrac{8}{3}\)

\(x=-\dfrac{8}{3}\)