[tex] \frac{5}{6} h[/tex] - [tex] \frac{7}{12} [/tex] = [tex] -\frac{3}{4} h[/tex] - [tex] \frac{13}{6} [/tex]
First, simplify [tex] \frac{5}{6} h[/tex] to [tex] \frac{5h}{6} [/tex] / Your problem should look like: [tex] \frac{5h}{6} [/tex] - [tex] \frac{7}{12} [/tex] = [tex] -\frac{3}{4} h[/tex] - [tex] \frac{13}{6} [/tex]
Second, simplify [tex] \frac{3}{4} h[/tex] to [tex] \frac{3h}{4} [/tex] / Your problem should look like: [tex] \frac{5h}{6} [/tex] - [tex] \frac{7}{12} [/tex] = [tex]- \frac{3h}{4} [/tex] - [tex] \frac{13}{6} [/tex]
Third, multiply both sides by 12, which is the LCM of 6 and 4. / Your problem should look like: 10h - 7 = -9h - 26
Fourth, add 9h to both sides. / Your problem should look like: 10h - 7 + 9h = -26
Fifth, simplify 10h - 7 + 9h to 19h - 7 / Your problem should look like: 19h - 7 = -26
Sixth, add 7 to both sides. / Your problem should look like: 19h = -26 + 7
Seventh, simplify -26 + 7 to -19. / Your problem should look like: 19h = -19
Eighth, divide both sides by 19. / Your problem should look like: h = [tex]- \frac{19}{19} [/tex]
Ninth, cancel out 19. / Your problem should look like: h = -1
Answer: h = -1
