Question

2/3x+6=1/2x+1/4x
i need help solving this please.

Answer 1

Hi,

Work:


`(2)/(3x) + 6 = (1)/(2) + (1)/(4x)`

1. Move expression 1/4x to the left side and change its sign, also move constant -6 to the right side and change its sign. Now you equation looks like this:


`(2)/(3x) - (1)/(4x) = (1)/(2) - 6`

2. Write all numerators above the least common denominator 12x.


`(5)/(12x) = (1)/(2) - 6`

3. Calculate the difference between 1/2 and 6.


`(5)/(12x) = - (11)/(2)`

4. Simplify equation using cross multiplication.


`10 = - 132x`

5. Switch the sides of equation.


`- 132x = 10`

6. Divide both sides of equation by -132.


`x = - (5)/(66)`

7. Results:


`x = - (5)/(66) = - 0.075`

Hope this helps.
If you have any questions about the answer comment below. Thank you!

r3t40