Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides of an Equation

Steps for Solving Eq. With Variables of Both Sides

• Do any distribution and simplify

• Combine like terms on each side

• Move all variable terms to one side

• Solve the remaining 2-step equation

Poll

What is the first step you must do in this equation?

8x-5x+16=8x-7x

• Move the terms to the same side

• Combine like terms on each side

• Distribute

Multiple Select

 $8x-5x+16=8x-7x$ 

Which is the correct simplified equation follwoing the steps. 

•  $8x-5x-8x+7x=-16$  
  

• 3x+16=x

Ex 1.

 $4\left(2+5x\right)=8+2x$  

Multiple Choice

Ex.2

 $4v+6=3v+4v$  

• 6/5

• 1

• 6/11

• 2

Ex. 3

 $8\left(p+6\right)=-2\left(p+1\right)$  

Multiple Choice

Ex. 4

 $-6\left(k-1\right)+2=-8-4k$  

• -8

• 8

• 8/5

• -16/10

Multiple Choice

Ex. 5

 $2\left(2x-1\right)=3\left(x-4\right)$  

• 10

• 6

• -10

• 6

Multiple Choice

Ex. 6

 $3.53+0.7p=1.2\left(p+1.9\right)$  

• 2

• 2.5

• -3.25

• 6.75