How do you solve 5x + 4< 3( 5x - 2)?

Jun 6, 2018

$x > 1$

Explanation:

$\text{distribute the bracket on the right side}$

$5 x + 4 < 15 x - 6$

$\text{collect terms in x on one side and numeric values on}$
$\text{the other side}$

$\text{subtract "5x" from both sides}$

$\cancel{5 x} \cancel{- 5 x} + 4 < 15 x - 5 x - 6$

$4 < 10 x - 6$

$\text{add 6 to both sides}$

$4 + 6 < 10 x$

$10 < 10 x$

$\text{divide both sides by 10}$

$1 < x \text{ or } x > 1$