# How do you solve 2x + 5 = 17?

Dec 13, 2017

$x = 6$

#### Explanation:

This is a question having to do with basic algebra:

Step 1: Isolate the variable. Subtract $5$ from both sides:

$2 x + 5 - 5 = 17 - 5$

$2 x = 12$

Step 2: Solve. Divide both sides by $2$

$\frac{2 x}{2} = \frac{12}{2}$

$x = 6$

Therefore,

$x = 6$

Dec 13, 2017

Subtract 2 from both sides
$2 x + \cancel{5} - \cancel{5} = 17 - 5$
You get
$2 x = 12$
Divide 2 from both sides
$\frac{\cancel{2} x}{\cancel{2}} = {\cancel{12}}^{6} / {\cancel{2}}^{1}$
You get
$x = 6$
Check:
$2 \times 6 + 5 = 17$
$12 + 5 = 17$
$17 = 17$
Hens, proved

Dec 16, 2017

Graphical interpritation:

#### Explanation:

The lines: $y = 2 x + 5$ and $y = 17$

The intisection shows the solution:

$\implies x = 6$