x = -43/4
Explanation:Given:
[tex]\frac{17-4x}{12}=5[/tex]To find:
the value of x
[tex]\begin{gathered} \frac{17-4x}{12}=5 \\ multiply\text{ both sides by 12:} \\ 17\text{ - 4x = 5\lparen12\rparen} \\ 17\text{ - 4x = 60} \end{gathered}[/tex][tex]\begin{gathered} add\text{ 4x to both sides:} \\ 17\text{ -4x + 14x = 60 + 4x} \\ 17\text{ = 60 + 4x} \\ \\ subtract\text{ 60 from both sides:} \\ 17\text{ - 60 = 4x} \\ -43\text{ = 4x} \\ \\ divide\text{ boh sides by 4:} \\ x\text{ = -43/4} \end{gathered}[/tex]