Combine Like Terms with Variables on Both Sides

Combine like terms first, then solve the equation:

4x - 5x + 9 =5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

Given: 6x + 3 = 7x - 11 + x, what would the equation look like after you combine like terms?

Mathematical Equivalence

OFF

Solve: 8x - 6 - 8 = x + 4 + x

Mathematical Equivalence

ON

Solve: 3x + 9 + 4x = -8(x - 6) - 8(13 + 5)

Mathematical Equivalence

ON

Solve: 7 + 5r + 3 + 5 = 1 + 7r

Mathematical Equivalence

ON

Solve: 4(n + 6) = 4n + 8(n + 13)

Mathematical Equivalence

ON

What is the first step in solving equations with variables on both sides?

• Combine like terms

• Use inverse operations

• Isolate the variable

• Multiply both sides by the same number

After combining like terms and using inverse operations, what is the final step in solving equations with variables on both sides?

• Isolate the variable

• Combine like terms again

• Add the same number to both sides

• Multiply both sides by the variable