# Solving More Complicated Linear Equations with Integer Coefficients

Need some simpler practice first?

## Example

Solve: $3 - 2x = 5x + 1$
Solution: Write a nice clean list of equivalent equations:
 $3 - 2x = 5x + 1$ original equation $3 = 7x + 1$ add $\,2x\,$ to both sides $2 = 7x$ subtract $\,1\,$ from both sides $\frac{2}{7} = x$ divide both sides by $\,7\,$ $x = \frac{2}{7}$ write in the most conventional way

## Practice

For more advanced students, a graph is available. For example, the equation $\,3 - 2x = 5x + 1\,$ is optionally accompanied by the graph of $\,y = 3 - 2x\,$ (the left side of the equation, dashed green) and the graph of $\,y = 5x + 1\,$ (the right side of the equation, solid purple).

Notice that you are finding the value of $\,x\,$ where these graphs intersect. Click the ‘Show/Hide Graph’ button to toggle the graph.