Solve for x. 3x+1/14=2x/8

It depends if it is

1. 3x + (1/14) = (2x) / 8 or

2. (3x+1) / 14 = (2x) / 8

if it is 1

1.

3x + (1/14) = 2x/8

simplify 2x/8

2x/8=x/4

3x + (1/14) = x/4

find least common multiple of 14 and 4

factors of 14=2 and 7

factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28

multiply both sides by 28

84x+2=7x

subtract 7x from both sides

77x+2=0

subtract 2 from both sides

77x=-2

divide both sides by 77

x=-2/77

2.

(3x+1) / 14=2x/8

simpify 2x/8

2x/8=x/4

(3x+1) / 14=x/4

find least common multiple of 14 and 4

factors of 14=2 and 7

factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28

multiply both sides by 28

(2) (3x+1) = 7x

distribute

6x+2=7x

subtract 6x from both sides

2=x