Solving Equations with Like Terms

What is the first step to solve this equation:
11 - 3x = 44 (a)  

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

 What is the second step in solving the following equation?
-3x + 5 = 20 (a)  

• Subtract 5 from both sides
• Divide both sides by -3
• Divide both sides by 3
• add 3x to both sides

4 = 2(x + 3)

Mathematical Equivalence

ON

2n + 3n + 7 = -43 (a)  

• n = -43/12
• n = -10
• n = -56/5
• n = 10

x + 24 - 9x = -8

-4 + 5x + 13 = 49

Solve the equation for x:
2(3x + 4) - 2x = 28

• x = 3
• x = 4
• x = 5
• x = 6

Solve the equation for x:
3x + 2(x + 10) = 50

• x = 6
• x = 7
• x = 8
• x = 9

Distribute. Simplify. Solve.
3(x-6)+2x=22

• x=8
• x=2
• x=18
• x=3

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours
• 4 hours
• 1 hour
• 2 hours