Solving Multi-Step Equations

What is the primary goal when solving equations with variables on both sides?

• To make all terms positive.

• To collect all variable terms on one side and all constant terms on the other.

• To multiply all terms by the largest coefficient.

• To divide all terms by the smallest constant.

When deciding which side to collect variable terms, what is the recommended strategy to avoid negative coefficients?

• Always choose the left side.

• Always choose the right side.

• Choose the side with the variable term that has the greater coefficient.

• Choose the side with the variable term that has the smaller coefficient.

Solve the equation: 8x = 5x + 21

• x = 3

• x = 7

• x = 21

• x = 5

Solve the equation: 17 - 4x = -9x - 13

• x = -6

• x = 6

• x = -30

• x = 30