# How do you solve 2x=7x+10?

Apr 27, 2018

$x = - 2$

#### Explanation:

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

$\text{subtract "7x" from both sides}$

$2 x - 7 x = \cancel{7 x} \cancel{- 7 x} + 10$

$\Rightarrow - 5 x = 10$

$\text{divide both sides by } - 5$

$\frac{\cancel{- 5} x}{\cancel{- 5}} = \frac{10}{- 5}$

$\Rightarrow x = - 2$

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

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

$\text{left } = 2 \times - 2 = - 4$

$\text{right } = \left(7 \times - 2\right) + 10 = - 14 + 10 = - 4$

$\Rightarrow x = - 2 \text{ is the solution}$

Apr 27, 2018

$x$ = -2

#### Explanation:

The first step to solving this equation is to place all the $x$ terms on one side by subtracting $7 x$ from each side of the equation:

$2 x - 7 x = 7 x - 7 x + 10$
**$- 5 x = 10$

Now, all you need to do is divide each side by $- 5$ to remove the coefficient from the $x$ term and get it by itself:

$\frac{- 5 x}{-} 5 = \frac{10}{-} 5$
$x = - 2$