Linear Equations
Example 1
$$x+4=8$$
Solution
\begin{align*}
x+4&=8\\
x&=8-4\\
x&=4\\
\end{align*}
Example 2
$$x+10=25$$
Solution
\begin{align*}
x+10&=25\\
x&=25-10\\
x&=15\\
\end{align*}
Example 3
$$x+12=7$$
Solution
\begin{align*}
x+12&=25\\
x&=25-12\\
x&=13\\
\end{align*}
Example 4
$$x+15=4$$
Solution
\begin{align*}
x+15&=4\\
x&=4-15\\
x&=-13\\
\end{align*}
Example 5
$$x+7=2$$
Solution
\begin{align*}
x+7&=2\\
x&=2-7\\
x&=-5\\
\end{align*}
Example 6
$$x+12=7$$
Solution
\begin{align*}
x+12&=7\\
x&=7-12\\
x&=-5\\
\end{align*}
Example 7
$$x+4=-6$$
Solution
\begin{align*}
x+4&=-6\\
x&=-6-4\\
x&=-10\\
\end{align*}
Example 8
$$x+12=-8$$
Solution
\begin{align*}
x+12&=-8\\
x&=-8-12\\
x&=-20\\
\end{align*}
Example 9
$$x+27=-3$$
Solution
\begin{align*}
x+27&=-3\\
x&=-3-27\\
x&=-30\\
\end{align*}
Example 10
$$x-2=7$$
Solution
\begin{align*}
x-2&=7\\
x&=7+2\\
x&=9\\
\end{align*}
Example 11
$$x-13=4$$
Solution
\begin{align*}
x-13&=4\\
x&=4+13\\
x&=17\\
\end{align*}
Example 12
$$x-8=25$$
Solution
\begin{align*}
x-8&=25\\
x&=25+8\\
x&=33\\
\end{align*}
Example 13
$$x-6=-8$$
Solution
\begin{align*}
x-6&=-8\\
x&=-8+6\\
x&=-2\\
\end{align*}
Example 14
$$x-9=-14$$
Solution
\begin{align*}
x-10&=-21\\
x&=-21+10\\
x&=-11\\
\end{align*}
Example 15
$$x-8=-16$$
Solution
\begin{align*}
x-8&=-16\\
x&=-16+8\\
x&=-8\\
\end{align*}
Example 16
$$x-15=-6$$
Solution
\begin{align*}
x-15&=-6\\
x&=-6+15\\
x&=9\\
\end{align*}
Example 17
$$x-7=-3$$
Solution
\begin{align*}
x-7&=-3\\
x&=-3+7\\
x&=4\\
\end{align*}
Example 18
$$x-18=-15$$
Solution
\begin{align*}
x-18&=-15\\
x&=-15+18\\
x&=3\\
\end{align*}
Example 19
$$6x=18$$
Solution
\begin{align*}
6x&=18\\
x&=\frac{18}{6}\\
x&=3\\
\end{align*}
Example 20
$$3x=27$$
Solution
\begin{align*}
3x&=27\\
x&=\frac{27}{3}\\
x&=9\\
\end{align*}
Example 21
$$12x=72$$
Solution
\begin{align*}
12x&=72\\
x&=\frac{72}{12}\\
x&=6\\
\end{align*}