solve equation if equation has no solution state so,simply when necessary

2/3x+1x=1/6

1/x+4-1/x-2=x+2/x^2+2x-8

help me please

3 answers

1. 2/3+1= 1/2/3
1/2/3x=1/6
X=1/10
2.i don't get it sry
hard to tell what your equation is, since you did not use brackets.

I have a feeling the second one might be

1/(x+4) - 1/(x-2) = (x+2)/(x^2 + 2x - 8)

the denominator on the right side factors to (x+4)(x-2) which shows up on the left, so multiply each term by (x+4)(x-2) to get

(x-2) - (x+4) = x+2
x-2 -x - 4 = x+2
-6 = x+2
x = -8

retype the first one using brackets
2/3x+1/x=1/6

it does not have bracket in the book.this is how it done. it 2 over 3x plus 1 over x equal 1 over 6.