Question

\(25\%\cdot x-0,4\cdot x=x+1\)

Answer 1

`25% . x - 0,4 . x = x + 1`

`1 / 4 . x - 2 / 5 . x = x + 1`

`1 / 4 . x - 2 / 5 . x - x = 1`

`( 1 / 4 - 2 / 5 - 1 ) . x = 1`

`[-23] / 20 . x = 1`

`x = 1 : [-23] / 20`

`x = [-20] / 23`

Answer 2

\(25\%\cdot x-0,4\cdot x=x+1\)

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

\(\left(\dfrac{1}{4}-\dfrac{2}{5}\right)x=x+1\)

\(-\dfrac{3}{20}x=x+1\)

\(-\dfrac{3}{20}x+\left(-\dfrac{20}{20}\right)x=1\)

 [ \(-\dfrac{3}{20}+\left(-\dfrac{20}{20}\right)\text{ ]}x=1\)

\(-\dfrac{23}{20}x=1\)

        \(x=1:\left(-\dfrac{23}{20}\right)\)

        \(x=-\dfrac{20}{23}\)