# How do you solve 11.1c-2.4=-8.3c+6.4?

Aug 9, 2016

Exact value$\to c = \frac{44}{97}$

App. value $\to 0.454$ to 3 decimal places

#### Explanation:

Lets get rid of the decimals!

Multiply everything by 10

$10 \left(11.1 c - 2.4\right) = 10 \left(- 8.3 c + 6.4\right)$

$111 c - 24 = - 83 c + 64$

Collecting like terms

$111 c + 83 c = 64 + 24$

$\implies 194 c = 88$

Divide both sides by 194

$\implies c = \frac{88}{194} = \frac{44}{97} \approx 0.454$