Question

4(1/2 - x ) - 5 ( x - 3/10)=7/4

 

Answer 1

\(4\left(\dfrac{1}{2}-x\right)-5\left(x-\dfrac{3}{10}\right)=\dfrac{7}{4}\)

\(\Leftrightarrow2-4x-5x+\dfrac{3}{2}=\dfrac{7}{4}\)

\(\Leftrightarrow-9x+\dfrac{7}{2}=\dfrac{7}{4}\)

\(\Leftrightarrow-9x=-\dfrac{7}{4}\)

\(\Leftrightarrow x=\dfrac{7}{36}\)

 

 

Answer 2

\(4\left(\dfrac{1}{2}-x\right)-5\left(x-\dfrac{3}{10}\right)=\dfrac{7}{4}\)

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

\(\dfrac{7}{2}-9x=\dfrac{7}{4}\)

\(-9x=-\dfrac{7}{4}\)

\(x=\dfrac{7}{36}\)