# Question #35046

Feb 15, 2018

$x = - 6.9$

#### Explanation:

Divide both sides by $3$

$- 6.9 = \left(3 \left(x + 4.6\right)\right)$

$- \frac{6.9}{3} = \frac{3 \left(x + 4.6\right)}{3}$

$- 2.3 = x + 4.6$

Subtract both sides by $4.6$

$- 2.3 - 4.6 = x + 4.6 - 4.6$

$- 6.9 = x + 0$

$- 6.9 = x$

Alternatively, begin by distributing $3$ each term in $x + 4.6$

$- 6.9 = 3 \left(x + 4.6\right)$

$- 6.9 = 3 x + 13.8$

Subtract $13.8$ from both sides:

$- 6.9 - 13.8 = 3 x + 13.8 - 13.8$

$- 20.7 = 3 x + 0$

$- 20.7 = 3 x$

Divide both sides by $3$:

$- \frac{20.7}{3} = \frac{3}{3} x$

$- 6.9 = x$

Feb 15, 2018

the answer is $x = - 6.9$

#### Explanation:

first distribute $3$ to the inside equation. then subtract $13.8$ with $- 6.9$ then divide by $3$