Combine Like Terms and Distribute to Solve Equations

Solve for x using combine like terms:

4x + 5x + 7 – 3x + 5 = –18

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

Solve for x. Distribute then Combine Like Terms:

–4 (3x – 7) = 4

Solve for x by combining like terms:

2x + 9 + 4x + 3 = 5 + x + 12

• x = 1

• x = 3

• x = –2

• x = 4

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 for x using distribution:

–2(x+5) = 8

Solve the equation below:

3 (2x + 3) = 21

Solve by combining like terms:

2x + 4 = 3x – 6