Solve the equation?

Question

7-5g - 1-g = 2g + 1

  3        4          6

Answer 1

(7-5g)/(3)-(1-g)/(4)=(2g+1)/(6)

multiply both sides by the LCM which is 12

12(7-5g)/(3)-12(1-g)/(4)=12(2g+1)/6

4(7-5g)-3(1-g)=2(2g+1)

28-20g-3+3g=4g+2

25-17g=4g+2

25-2=17g+4g

23=21g

g=23/21