Question

5/6h - 7/12 = -3/4h - 13/6

Answer 1

Answer:

h = -1

Step-by-step explanation:

Answer 2

$\frac{5}{6} h$ - $\frac{7}{12}$ = $-\frac{3}{4} h$ - $\frac{13}{6}$

First, simplify $\frac{5}{6} h$ to $\frac{5h}{6}$ / Your problem should look like: $\frac{5h}{6}$ - $\frac{7}{12}$ = $-\frac{3}{4} h$ - $\frac{13}{6}$
Second, simplify $\frac{3}{4} h$ to $\frac{3h}{4}$ / Your problem should look like: $\frac{5h}{6}$ - $\frac{7}{12}$ = $- \frac{3h}{4}$ - $\frac{13}{6}$
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 = $- \frac{19}{19}$
Ninth, cancel out 19. / Your problem should look like: h = -1

Answer: h = -1