Solving Equations with Variables on Both Sides

What are the two main steps to solve equations with variables on both sides?

• Move constants to one side and use inverse operations

• Move variables to one side and use direct operations

• Move constants to one side and use direct operations

• Move variables to one side and use inverse operations

In the equation x = 3x + 18, what is the first step to isolate x?

• Subtract 3x from both sides

• Divide both sides by 3

• Multiply both sides by 3

• Add 3x to both sides

After subtracting 3x from both sides in the equation x = 3x + 18, what is the resulting equation?

• 6x = 0

• 6x = 18

• x = 3

• x = 18

In the equation 7b - 15 = 5b - 3, what is the first step to isolate b?

• Add 5b to both sides

• Subtract 15 from both sides

• Subtract 5b from both sides

• Add 15 to both sides

After subtracting 5b from both sides in the equation 7b - 15 = 5b - 3, what is the resulting equation?

• 2b - 15 = 3

• 2b = -3

• 2b = 3

• 2b - 15 = -3

In the equation 4b + 5 = 1 + 5b, what is the first step to isolate b?

• Subtract 5 from both sides

• Subtract 4b from both sides

• Add 4b to both sides

• Add 5 to both sides

After subtracting 4b from both sides in the equation 4b + 5 = 1 + 5b, what is the resulting equation?

• 4b = b

• 4b = 1 + b

• 5 = b

• 5 = 1 + b

In the equation 4m - 7 + 10 = 15 - 2m, what is the first step to simplify the left side?

• Combine 4m and 10

• Combine 4m and -7

• Combine -7 and 10

• Combine 4m and 15

After combining like terms on the left side of the equation 4m - 7 + 10 = 15 - 2m, what is the resulting equation?

• 4m - 3 = 15 - 2m

• 4m - 3 = 15 + 2m

• 4m + 3 = 15 + 2m

• 4m + 3 = 15 - 2m

In the equation 4m + 3 = 15 - 2m, what is the next step to isolate m?

• Add 3 to both sides

• Subtract 2m from both sides

• Subtract 3 from both sides

• Add 2m to both sides