How to do equations

How to Equation

Keep Calm and Combine Like Terms

 $-5x-13+13x+4\ =5$  

Step 1 = Keep Calm and Combine Like Terms

 $-5x-13+13x+4\ =5$  
 $\left(-5x+13x\right)+\left(-13+4\right)=5$  
 $7x-9=5$  

This is what that looks like

Multiple Choice

Your turn...

 $2x-11+11x+6=-3$  

•  $-9x+17=-3$  

•  $13x-5=-3$  

•  $2x+6=-3$  

Multiple Choice

One more...

 $5+13x-9-9x=-2$  

•  $18x=-2$  

•  $18x-18=-2$  

•  $4x-4=-2$  

 $7x-9=5$  
 $9+\left(7x-9\right)=\left(5\right)+9$  

  $7x\ =\ 14$  

Next take care of your constant
Just do the opposite of what it currently is to both sides

Multiple Choice

Your turn...  

 $13x-5=-3$  

•  $13x=-8$  
  

•  $13x=2$  
  

•  $8x=-3$  

Multiple Choice

One more...

 $4x-4=-2$  

•  $4x=-6$  

•  $4x=2$  

•  $x=-2$  

 $7x=14$   

 $\frac{\left(7x\right)}{7}=\frac{14}{7}$  

 $x=2$  

Now take care of the coefficient
Use the inverse operation of what's currently happening

Multiple Choice

Your turn...

 $13x=2$  

•  $x=15$  

•  $x=11$  

•  $x=\frac{2}{13}$  

Multiple Choice

One more...

 $4x=2$  

•  $x=2$  

•  $x=-2$  

•  $x=\frac{1}{2}$  

Lets put it all together

 $4x+11-x-4=-10$  

Step 1  $3x+7=-10$  
Step 2  $3x=-17$  
Step 3  $x=-\frac{17}{3}$  

Open Ended

Your turn...

Solve for x

 $-8x-7-5x+5=10$ 

Open Ended

One more...

Solve for x

 $1+2x+9+7x=8$