Solve Equations with Variables

Solving Equations with Variables on Both Sides of an Equation

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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

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Multiple Choice

Ex.2

$$4v+6=3v+4v$$  

• 6/5

• 1

• 6/11

• 2

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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

$$-13=5\left(1+4m\right)-2m$$  

• 2

• 2.5

• -1

• 1