Question

If 5x/4x-3=2 then what is the value of x

Answer 1

$Given \: linear \:equation \:in \:one \: variable:\\ \frac{5x}{4x-3} = 2$

$\implies 5x = 2(4x-3)$

$\implies 5x = 8x-6$

/* adding bothsides by 6 , we get */

$\implies 5x + 6 = 8x-6 + 6$

$\implies 5x + 6 = 8x$

/* Subtract bothsides by 5x, we get */

$\implies 5x + 6 - 5x = 8x - 5x$

$\implies 6 = 3x$

$\implies 3x = 6$

$\implies x = \frac{6}{3}$

$\implies x = 2$

Therefore.,

$\red { Value \:of \:x } \green {= 2}$

•••♪