Answer:
For this equation the value of x is - 2/3
Step-by-step explanation:
1. Resolving the equation 2/3-4x+7/2=-9x+5/6
-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)
5x = (5/6 - 4/6 -21/6)
5x = -20/6
x = - 20/6 /5 (Dividing by 5 at both sides)
x = -20/6 * 1/5
x = -4/6 = - 2/3 (Simplifying)
2. Proof of replacing x by -2/3
2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6
2/3 + 8/3 + 7/2 = 18/3 + 5/6
10/3 + 7/2 = 6 + 5/6
20 + 21 = 36 + 5 (Multiplying by 6 at both sides)
41 = 41
It means the value of -2/3 for x is correct
Note: Same answer than 13866851
