Question

Solve the following equation for the unknown variables (x+1)/4 + (x+2)/2 = (x-3)/2 -(x-1)/3​

Answer 1

Answer:

x is -29/7

Step-by-step explanation:

(x+1)/4 + (x+2)/2 = (x-3)/2 -(x-1)/3​

Take LCM on both sides

(x + 1 + 2x + 4)/4 = (3x - 9 - 2x + 2)/6

(3x + 5)/4 = (x - 7)/6

(3x + 5)/2 = (x - 7)/3

3(3x + 5) = 2(x - 7)

9x + 15 = 2x - 14

9x  - 2x = - 14 - 15

7x = - 29

x = -29/7