One Variable with Variables on Both Sides

14p - 8 = 22 + 20p

• -5

• 5

• 30

12k + 15 = 35 +2k

• k = 2

• k = 4

• k = -2

• k = -4

6x + 5 = 10 + 5x

• x = -5

• x = 6

• x = 4

• x = 5

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

• add 1 to both sides

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

Where is the first mistake?

• Distribution of the 5

• Distribution of the 10

• subtracting 60x from both sides

• dividing by -50

Where is the first mistake?

• Subtracting 3 on both sides

• Distributing the 9

• Subtracting 9x on both sides

• Inequality error

7x = 3x + 24

• 6

• 10

• 14

• 4

Solve the equation
4x - 5x + 9 =5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

14p - 8 = 22 + 20p

• -5

• 5

• 30

• -30