Answer:
[tex]\frac{36 }{5}[/tex] or [tex]7.2[/tex]
Step-by-step explanation:
To find the value of "x", you need to rearrange the expression to isolate "x" on one side.
[tex]5 = \frac{1}{x-7}[/tex] <----- Given expression
[tex]5(x - 7)=1[/tex] <----- Multiply both sides by (x - 7)
[tex]5x - 35 = 1[/tex] <----- Multiply each term within parentheses by 5
[tex]5x = 36[/tex] <----- Add both sides by 35
[tex]x = \frac{36}{5}[/tex] <----- Divide both sides by 6
