# How do you solve 5c + 3= 4c + 7?

May 3, 2017

See the solution process below:

#### Explanation:

Subtract $\textcolor{red}{3}$ and $\textcolor{b l u e}{4 c}$ from each side of the equation to solve for $c$ while keeping the equation balanced:

$- \textcolor{b l u e}{4 c} + 5 c + 3 - \textcolor{red}{3} = - \textcolor{b l u e}{4 c} + 4 c + 7 - \textcolor{red}{3}$

$\left(- \textcolor{b l u e}{4} + 5\right) c + 0 = 0 + 4$

$1 c = 4$

$c = 4$