# How do you multiply 1 - 3 / (2x) = 7/4?

May 9, 2015

L.H.S = $1 - \left(\frac{3}{2 x}\right)$

multiplying the numerator and denominator of 1 by $2 x$ to make a common denominator for both terms:

= $\left(1\right) \times \frac{2 x}{2 x} - \left(\frac{3}{2 x}\right)$

= $\frac{2 x - 3}{2 x}$

equating with R.H.S:

$\frac{2 x - 3}{2 x} = \frac{7}{4}$

On cross multiplication:

$\left(2 x - 3\right) \times 4 = \left(2 x\right) \times 7$

$8 x - 12 = 14 x$
$- 6 x = 12$
$x = - 2$