Equations with Variables on Both Sides

What is the value of 3x + 4 = 5x-12

• -4

• 4

• -8

• 8

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

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

• 6

• 2

• 30

• No solution

What is the error?

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

13y - 18 = -5y + 36

• y = 3

• y = -3

• y= 9

• y = -9

12 - 5k = k + 6

• k = 1

• k -1

• k= 1/2

• k = -1/2

The objective when solving an equation is to....

• isolate the variable.
• check the solution.
• guess and check.
• Combine Like Terms.