# How do you solve the equation: -1.7x-1.7=0.8?

Jul 9, 2015

$x = - \frac{25}{17}$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXXX}}$$- 1.7 x - 1.7 = 0.8$

Since I don't like working with decimal fractions unnecessarily and since it would be nice to have a positive coefficient for $x$ on the left side,
Multiply everything by $\left(- 10\right)$.
$\textcolor{w h i t e}{\text{XXXX}}$$17 x + 17 = - 8$
Subtract $\left(17\right)$ from both sides to isolate the $x$ term coefficienct.
$\textcolor{w h i t e}{\text{XXXX}}$$17 x = - 25$
Divide both sides by $\left(17\right)$.
$\textcolor{w h i t e}{\text{XXXX}}$$x = - \frac{25}{17}$