[tex] \frac{1}{5} t[/tex] - 3 = -17
First, simplify [tex] \frac{1}{5} t[/tex] to [tex] \frac{t}{5} [/tex] / Your problem should look like: [tex] \frac{t}{5} - 3 = -17[/tex]
Second, multiply both sides by 5. / Your problem should look like: [tex]t - 15 = -85[/tex]
Third, add 15 to both sides. / Your problem should look like: [tex]t = -85 + 15[/tex]
Fourth, simplify -85 + 15 to get -70. / Your problem should look like: [tex]t = -70[/tex]
CHECKING:
[tex] \frac{1}{5} t - 3 = -17[/tex]
First, let t = -70 / Your problem should look like: [tex] \frac{1}{5} x -70-3=-17[/tex]
Second, simplify [tex] \frac{1}{5} x -70[/tex] to [tex] -\frac{1}{5}x70 [/tex] / Your problem should look like: [tex] -\frac{1}{5} x 70-3=-17[/tex]
Third, simplify [tex] \frac{1}{5} x70[/tex] to [tex] \frac{70}{5} [/tex] / Your problem should look like: [tex]- \frac{70}{5} -3=-17[/tex]
Fourth, since 14 goes into 5 to get 70, simplify the fraction by 14. / Your problem should look like: [tex]-14-3=-17[/tex]
Fifth, simplify -14 - 3 to get -17 / Your problem should look like: [tex]-17 = -17[/tex]
Answer: t = -70
