Solving Multi-Step Linear Equations

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

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

• no solution

• infinite solutions

• x = 6

• x = 0

• 1
• 0
• 2
• 7

Pristine House Cleaners charges $19.85 plus $32 per room. Sparkle House Cleaners charges $61.85 plus $18 per room. Write and solve an equation to find the number of rooms for which the total cost of both house cleaners is the same.

• 4 rooms

• 1/3 rooms

• 3.5 rooms

• 3 rooms

3x - x + 4 = 4(2x +1)

• no solution

• all real numbers (infinite)

• x = 6

• x = 0

3(3x - 6) = 18

• x = 4

• x = -4

• no solution

• all real numbers (infinite)

5x - 14 = 8x + 4

• 6

• -6

• -18/13

• 10/3

4(-8x + 5) = -32x - 26

• 54

• -54

• all real numbers (infinite)

• no solution

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

• one

• no solutions

• infinite solutions

2x + 1 = 2(x -10)

• No Solution

• x = 0

• all real numbers (infinite)