# How do you solve 6(x+8)=18?

Mar 2, 2018

the answer is $x = - 5$

#### Explanation:

$6 x + 48 = 18$
$- 48$
$6 x = - 30$
divide $6$ from both sides
$x = - 5$

Mar 2, 2018

No need to expand the brackets in the first step
Simply transfer the 6
$x + 8 = \frac{18}{6}$
$x + 8 = 3$
Transfer 8
$x = 3 - 8$
$x = - 5$

Mar 2, 2018

$x = - 5$

#### Explanation:

Apply the Distributive Property on the left side, which tells us that $a \left(b \pm c\right) = a b \pm a c$

$6 \left(x + 8\right) = 18 \Leftrightarrow 6 x + 6 \left(8\right) = 18$

Simplifying, we have

$6 x + 48 = 18$

We now want to isolate $x .$ Subtract $48$ from both sides:

$6 x \cancel{+ 48 - 48} = 18 - 48$

$6 x = - 30$

Divide both sides by $6 :$

$\frac{\cancel{6} x}{\cancel{6}} = - \frac{30}{6}$

$x = - 5$