# How do you solve the inequality 10(x+2)>2(6-9x)?

Jan 31, 2016

$x > - \frac{2}{7}$

#### Explanation:

We must simply first the inequality, both the left and right side :)

$10 \left(x + 2\right) > 2 \left(6 - 9 x\right)$

using Distributive Property of Real Numbers:

$10 x + 20 > 12 - 18 x$

then we must combine the same terms/like terms
(Using the Golden Rule of Algebra) (Balancing the Equation) :)

$28 x > - 8$

then divide both sides by $28$

$x > - \frac{8}{28}$

reduce to lowest terms,

$x > - \frac{2}{7}$