# How do you solve -15c+7c+1=3-8c?

May 1, 2017

See the solution process below:

#### Explanation:

We can rewrite the left side of the equation by combining like terms as:

$- 8 c + 1 = 3 - 8 c$

We can now add $\textcolor{red}{8 c}$ to each side of the equation to eliminate this common term:

$\textcolor{red}{8 c} - 8 c + 1 = 3 - 8 c + \textcolor{red}{8 c}$

$0 + 1 = 3 - 0$

However, $1 \ne 3$

Therefore there is no solution to this problem.

Or

The solution is the empty or null set: $\left\{\emptyset\right\}$