# How do you solve 3x + 16= x?

Apr 15, 2018

$x = - 8$

#### Explanation:

We can begin by subtracting $3 x$ from both sides. Here, we want to get $x$ on one side, and it'll be easier to get it on the right hand side. We get:

$16 = - 2 x$

We can divide both sides by $- 2$ to get:

$x = - 8$

Apr 15, 2018

$x = - 8$

#### Explanation:

Okay, so what you do here is isolate the variable, $x$. That would make the equation,

$- 2 x = 16$

Now, divide both sides by $- 2$ and you'll get your answer.

$x = - 8$

Apr 15, 2018

$x = - 8$

#### Explanation:

$\text{collect terms in x on the left side and numeric values}$
$\text{on the right side of the equation}$

$\text{subtract x from both sides}$

$3 x - x + 16 = \cancel{x} \cancel{- x}$

$\Rightarrow 2 x + 16 = 0$

$\text{subtract 16 from both sides}$

$2 x \cancel{+ 16} \cancel{- 16} = 0 - 16$

$\Rightarrow 2 x = - 16$

$\text{divide both sides by 2}$

$\frac{\cancel{2} x}{\cancel{2}} = \frac{- 16}{2}$

$\Rightarrow x = - 8$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the equation and if both sides are equal then it is the solution.

$\left(3 \times - 8\right) + 16 = - 24 + 16 = - 8 = \text{ right side}$

$\Rightarrow x = - 8 \text{ is the solution}$