Manipulating Equations

Solve the equation for x.

 $a\ =\ 5x\ +\ 1$  

•  $\frac{a+1}{5}\ =\ x$  

•  $5a\ -\ 1\ =x$  

•  $a\ -5\ =\ x$  

•  $\frac{a-1}{5}=x$  

Solve the equation for x.

 $\frac{7x}{2}\ =\ c$  

•  $x\ =\ \frac{2c}{7}$  

•  $x\ =\ 7c\ -2\$  

•  $x\ =\ \frac{7c}{2}$  

•  $x\ =\ 7c\ +2$  

Solve the equation for x.

 $3p-x\ =2y$  

•  $x\ =\ 2y\ -\ 3p$  

•   $x\ =3p\ −\ 2y$  

•  $x\ =3p\ +\ 2y$  

Solve the equation for x.

 $3y\ =\ \frac{p}{5}\ +\ x$  

•  $3x\ -\ \frac{p}{5}\ =\ x$  

•  $3y\ +\frac{p}{5}=\ x$  

•  $\frac{p}{5}-3y\ =\ x$  

Solve the equation for x.

 $3f\ -x\ =\ 18$  

•  $3f\ =\ 18\ +\ x$  

•  $x\ =\ 3f\ -18$  

•  $x\ =\ 18\ -3f$  

Solve the equation for x.

 $8x\ -\ 3a\ =\ 2b$  

•  $x\ =\ \frac{3a\ -\ 2b}{8}$  

•  $x\ =\ 8\left(2b\ +\ 3a\right)$  

•  $x\ =\ \frac{2b\ +\ 3a}{8}$  

 $3x\ -\ 2\left(y-3\right)\ =0$  Solve the equation for x.

•  $x\ =\ 6\left(y\ -3\right)$  

•  $x\ =\ \frac{2y\ -6}{3}$  

•  $x\ =\ \frac{2y\ +\ 6}{3}$  

Solve the equation for x.

 $ax\ +\ b\ =\ k$  

•  $\frac{b-k}{a}=x$  

•  $\frac{b+k}{a}\ =\ x$  

•  $\frac{k-b}{a}\ =x$