Solve for x: 4 over 3x + 2 over 3 = 6

Question

johnweldon1993 · Answer

$$\frac{ 4 }{ 3x } + \frac{ 2 }{ 3 } = 6$$

Like that?

johnweldon1993 · Answer

Well if it is like that...you need to first find the common denominator ...which in this case would be 3x....so multiply that second fraction by x/x

$$\frac{ 4 }{ 3x } + \frac{ 2x }{ 3x } = 6$$

Now put over the common denominator

$$\frac{ 4 + 2x }{ 3x }= 6$$

And now multiply both sides by 3x to eliminate that fraction

$$4 + 2x = 18x$$

Now subtract 2x from both sides

$$4 = 16x$$

And finally divide both sides by 16 to solve for x

$$x = \frac{ 4 }{ 16 }$$

Simplify

$$x = ?$$