Solving Equations One Step Combining Like Terms

Solve for x.

Which step cannot be performed first when solving the equation

5 - 2(x - 7) = x + 1 + 3x

• Distributing -2 to (x - 7)

• Combining x and 3x

• 5 - 2

Solve:
5y + 34 = -2(-7y+1)

• y = -4

• y = 9

• y = 4

• y = 36/19

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 error?

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

Solve the equation
3x = 27. 

• x = 24

• x = 81

• x = 9

x = 20

• x = 20

• x = 7

• x = 10

• x = 3

• k = 152
• k = 176
• k = 5
• k = 27

144=12z

• z=20

• z=11

• z=12