let the number be represented by x
so, if 1 is added to the number
the result would be 5 more than (5 plus) 4 times the number
let's write out an equation for this
[tex]1+x=4x+5[/tex]the equation above is a mathematical translation of the statement
step one
collect like terms
[tex]\begin{gathered} 1+x=4x+5 \\ 1-5=4x-x \\ -4=3x \end{gathered}[/tex]step two
divide both sides by the coeffiecient of x
[tex]\begin{gathered} 3x=-4 \\ \frac{3x}{3}=-\frac{4}{3} \\ x=-\frac{4}{3} \end{gathered}[/tex]from the calculation above, the unknown number is -4/3
