# Solving Simple Linear Equations with Integer Coefficients

You may want to review these two tools:

## Examples

Note:
Some of these equations are so simple
that you may want to solve them *by inspection*.
That is, just stop and think:
What number, minus $\,3\,,$ gives $\,5\,$?

Note: You can input this answer as 2.5 or 5/2 . That is, you can input answers as fractions or decimals.

Note: For some of the more complicated equations, you may want to use the Addition and Multiplication Properties of Equality.

$2x-1=5$ | original equation |

$2x=6$ | add $\,1\,$ to both sides |

$x = 3$ | divide both sides by $\,2$ |

## Practice

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