Combining and Distributing Equations

In order for terms to be "like", they need to have the __________________

• same variable only

• same exponent only

• same variable and same exponent

• either same variable or same exponent

When distributing a number through ( ), it needs to multiply to __________________

• just the first term inside the ( )

• just the last term inside the ( )

• every term inside the ( )

• any two terms inside the ( )

Solve by combining like terms:

2x - 5 + 7x = 34

Solve for x using distribution:

–2(x+5) = 8

Solve for x:

12 - 10x + 5x = -18

• add the 5
  

• divide by the 2
  

• distribute the 3
  

• subtract the 21
  

Solve for x:

-2( m + 3) - 5m = -34

Solve the equation below:

3 (2x + 3) = 21

Solve the equation below. Distribute FIRST and then combine like terms:

3 (4 – 2x) + 4x = 2

• x = 5

• x = 1

• x = –1

• x = –5

Solve for x. Distribute then Combine Like Terms:

3(2x – 5) – 4x = –19

• x = –2

• x = 2

• x = 10

• x = –11