Question

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

Answer 1

\[\frac{ 4 }{ 3x } + \frac{ 2 }{ 3 } = 6\]

Like that?

Answer 2

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

\[x = ?\]