Solving multistep equations practice 2

 $3\left(4x-6\right)+15=27-12x+9x$  
Which correctly applies the distributive property.

• A.  $7x-3+15=27-12x+9x$  

• B. $12x-18+15=27-12x+9x$  

• C.  $12x+18+15=27-12x+9x$  

• D. $x+3+15=27-12x+9x$  

 $12x-18+15=27-12x+9x$  
Which properly combines all like terms

•  $12x+33=27-21x$  

•  $12x-3=27+21x$  

•  $12x-3=27-3x$  

•  $12x+18=27+9x$  

 $12x-3=27-3x$  
which option shows moving the variable terms to one side properly?

•  $9x-3=27$  

•  $9x=27-3x$  

•  $12x-3=24$  

•  $15x-3=27$  

 $15x-3=27$  
Isolate for the variable x
type your answer as x=...
No spaces, lowercase "x"

 $5-6\left(2v+8\right)=2\left(5v+15\right)+15$  
Step 1:Distribute

•  $5-12v-48=10v+30+15$  

•  $5-4v-2=17v+17+15$  

•  $5-6\left(2v+8\right)=10v+30+15$  

•  $5-12v-48=2\left(5v+15\right)+15$  

 $5-12v-48=10v+30+15$  
Step 2: Combine like terms

•  $-12v+51=10v+15$  

•  $5v-60=10v+40$  

•  $-12v-43=10v+45$  

•  $-12v=40v+15$  

 $-12v-43=10v+45$  
Step 3: Move all variables to one side of the equation

•  $-2v-43=45$  

•  $-22v-43=45$  

•  $-43=-12v+45$  

•  $-43=45$  

 $-22v-43=45$  
Step 4: Add or subtract the constants to the opposite side of the variable.

•  $-22v=88$  

•  $-22v=2$  

•  $-43v=67$  

•  $-22v=79$  

 $-22v=88$  
Step 5: Divide

•  $x=-66$  

•  $x=44$  

•  $x=-4$  

•  $x=4$