Multi-Step Linear Equations

4x + 10 = -26

• 4

• -4

• -9

• 9

Solve:
3x + 15 = 3(x + 5)

• No Solution

• x = 15

• Infinitely Many Solutions

What would the next step look like after you multiply everything by the LCM and get rid of the fractions?

Solve for x:
2(3x + 4) + 2 = 4 + 3x

• 2

• -2/3

• 10

• -2

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

• 3

• -3

• -5

• 5

Solve for x:
8x + 2 + 3x + 5 = x + 12

• -1/2

• 2

• -2

• 1/2

Solve:
1/3(2b + 9) = 2/3(b + 9/2)

• No Solution

• x = 3

• Infinitely Many Solutions

Solve: 
10x - 8/3 - 4x = 6x

• No Solution

• x = 8/3

• Infinitely Many Solutions

What is the LCM the (Lowest Common Multiple) that you would multiply everything by to get rid of the fractions?

• 5

• 1

• 3

• 12

3x - 8 = 3(x - 4) + 1
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

• one, x = 5

• no solutions

• infinite solutions

• one, x = -2