Solve the equation or inequality?

Question

81. 2x+1= 7x-4

82. 1/3x +2 = 5- 1/6x

Answer 1

81

1+4 = 7x - 2x

5 = 5x

1 = x

(ediited)

82

1/3x + 1/6x =5 -2

3/6x =3

1/2x =3

x= 2 x 3

x=6

Answer 2

81. 2x+1= 7x-4

1+4=7x-2x (get all x values to one side of equals, note, when you move them across they change their signs eg -2x becomes +2x)

5=5x

1=x

82. 1/3x +2 = 5- 1/6x

1/3x+1/6x=5-2 (get all x values to one side of equals <-1/6x becomes +1/6x when you move it across)

2/6x+1/6x=3 (multiply everthing by 6 to get rid of the fractions

2x+x=18

3x=18

x=6

hope this helps