# How do you solve -4c-1.2=0.8?

Apr 27, 2017

$c = - 0.5$

#### Explanation:

$- 4 c - 1.2 = 0.8$

or

$- 4 c = 1.2 + 0.8$

or

$- 4 c = 2$

or

$4 c = - 2$

or

$c = - \frac{2}{4}$

or

$c = - \frac{1}{2}$

or

$c = - 0.5$

Apr 27, 2017

$c = - \frac{1}{2} = - 0.5$

#### Explanation:

$- 4 c - 1.2 = 0.8$ original

• Add 1.2 to both sides...
$- 4 c \setminus \cancel{- 1.2} \setminus \cancel{\setminus \textcolor{red}{+ 1.2}} = 0.8 \setminus \textcolor{red}{+ 1.2}$
• Simplify... $- 4 c = 0.8 + 1.2$
which becomes $- 4 c = 2.0$ otherwise known as $- 4 c = 2$
• Divide both sides by -4...
$\frac{\setminus \cancel{- 4} c}{\setminus \cancel{\setminus \textcolor{red}{- 4}}} = \frac{2}{\setminus} \textcolor{red}{- 4}$ also written as $c = - \frac{2}{4}$
• Simplifying the resulting fraction... $c = - \frac{2}{4} \setminus \rightarrow - \frac{1 \setminus \cdot 2}{2 \setminus \cdot 2}$
you can remove a 2 from the numerator and denominator... so your result is

$c = - \frac{1}{2}$, or if you want it in decimal form, $c = - 0.5$