How do you solve 10 / (2x+6) + 2 / (x+3) = 1/2?

1 Answer
May 13, 2015

Using the lowest common denominator.

$2 x + 6$ is the very same double of $x + 3$.

So, the lowest common denominator between the two fractions is $2 x + 6$ itself.

Summing both, we'd have $\frac{10 + 4}{2 x + 6} = \frac{1}{2}$

Multiplying in cross, we'd have $1 \cdot \left(2 x + 6\right) = 2 \cdot \left(10 + 4\right)$

$2 x + 6 = 28$
$2 x = 22$
$x = 11$

:)