# How do you solve 2( 3+ x ) \geq 15- 5x?

Apr 10, 2018

x≥9/7

#### Explanation:

2(3+x)≥15-5x (Distribute $2$ to the numbers in braces)

6+2x≥15-5x (Subtract $6$ from both sides)

2x≥9-5x (Add $5 x$ to both sides)

7x≥9 (Divide both sides by $7$)

x≥9/7

Apr 10, 2018

$x \ge \frac{9}{7}$

#### Explanation:

Solve:

$2 \left(3 + x\right) \ge 15 - 5 x$

Expand the left-hand side.

$6 + 2 x \ge 15 - 5 x$

Add $5 x$ to both sides.

$6 + 2 x + 5 x \ge 15$

Subtract $6$ from both sides.

$2 x + 5 x > 15 - 6$

Simplify.

$7 x \ge 9$

Divide both sides by $7$.

$x \ge \frac{9}{7}$