SOLVING MORE COMPLICATED
LINEAR EQUATIONS WITH INTEGER COEFFICIENTS
$3 - 2x = 5x + 1$ | (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) |
For more advanced students, a graph is displayed.
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 if you prefer not to see the graph.