3B: Equations with Variables on Both Sides

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Get rid of the variable

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

What is the first step you should take to solve this equation:

 $-11-3x=44-2x$  

• Add 3 to both sides

• Isolate the variable on one side

• Subtract 11 from both sides

• Divide both sides by -3

Tags

CCSS.6.EE.B.7

What is the first step you should take to solve this equation:

 $3\left(x-2\right)=2x+7$  

• Add 2 to both sides

• Use distributive property to get rid of the parentheses

• Isolate the variable on one side

• Subtract 7 from both sides

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

Check all steps that you would need to take to solve this equation:

 $8\left(2x-3\right)+2x=4x-4$  

• Use distributive property to get rid of parentheses

• Combine like terms

• Move the variable to one side of the equation

• Use inverse operations to isolate and solve for the variable.

Tags

CCSS.6.EE.A.3

Check all steps that you would need to take to solve this equation:

 $4x-2=-2x+16$  

• Use distributive property to get rid of parentheses

• Combine like terms

• Move the variable to one side of the equation

• Use inverse operations to isolate and solve for the variable.

Check all steps that you would need to take to solve this equation:

 $4x+7-2x=18-3x$  

• Use distributive property to get rid of parentheses

• Combine like terms

• Move the variable to one side of the equation

• Use inverse operations to isolate and solve for the variable.

Check all steps that you would need to take to solve this equation:

 $4\left(x-2\right)=x+1$  

• Use distributive property to get rid of parentheses

• Combine like terms

• Move the variable to one side of the equation

• Use inverse operations to isolate and solve for the variable

Check all that apply - What could you do to move the variable to one side of this equation:
 $2x+3=4x-7$ 

• Subtract 2x from both sides

• Subtract 3 from both sides

• Subtract 4x from both sides

• Add 7 to both sides

Tags

CCSS.6.EE.A.3