1.4: Solving Multi-Step Equations

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

Describe the solution set:
2(x + 5) = 2x + 5

• one solution
• no solution
• infinitely many solutions
• two solutions

Solve the equation:
3x - x + 4 = 4(2x +1)

• no solution
• infinite solutions
• x = 6
• x = 0

Find the solution:
10 = 4x - 2

• x = 3
• x = 2
• x = -3
• x = -2

Solve:
3(3x - 6) = 18

• x = 4
• x = -4
• no solution
• infinite solutions

5x - 4 + 2x = 3

• 1
• 2
• 3
• 4

8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4 

3x + 2(4x - 4) = 3

• 4
• 3
• 2
• 1

4x + 10 = -26

• 4
• -4
• -9
• 9

Which of the equations has no solution?

• 2x + 1 = 5x - 3
• 2(x - 7) = 2x-14
• 3(2x+1) = 6x+1
• 15x - 30 = 0