Steps to Solving 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.7.EE.B.4A

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.A.3

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.

Tags

CCSS.6.EE.A.3

CCSS.6.EE.B.5

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.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

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

Tags

CCSS.6.EE.A.3

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.HSA.REI.A.1

CCSS.HSA.REI.B.3

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• Add 1 to both sides
  

• Collect the numbers to the right

• Divide 36 by 18

• Subtract 1 from both sides

Tags

CCSS.7.EE.B.4A