Question

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

Answer 1

Hi,

Work:

$\frac{2}{3x} + 6 = \frac{1}{2} + \frac{1}{4x}$

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:

$\frac{2}{3x} - \frac{1}{4x} = \frac{1}{2} - 6$

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

$\frac{5}{12x} = \frac{1}{2} - 6$

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

$\frac{5}{12x} = - \frac{11}{2}$

4. Simplify equation using cross multiplication.

$10 = - 132x$

5. Switch the sides of equation.

$- 132x = 10$

6. Divide both sides of equation by -132.

$x = - \frac{5}{66}$

7. Results:

$x = - \frac{5}{66} = - 0.075$

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

r3t40