Solving Equations with Variables on Both Sides with Distributing

What is the first step you should take to solve this problem?

-3(x - 2) = -8 +9b

• add 8 to both sides

• subtract 9b from both sides

• Distribute -3 to the x and -2

• add 2 to both sides

Jacob solved the following equation using the steps shown. Step 1 5x + 9 = 2x - 3 Step 2 3x + 9 = -3 Step 3 3x = -12 Step 4 x = -4 What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Where is the first mistake?

• Distribution of the 5

• Distribution of the 10

• subtracting 60x from both sides

• dividing by -50

Where is the first mistake?

• Subtracting 3 on both sides

• Distributing the 9

• Subtracting 9x on both sides

• Inequality error

Mathematical Equivalence

OFF

Mathematical Equivalence

ON

Mathematical Equivalence

ON

3x + 10 + 2x = 2 (x + 8)

5x + 10 = 2x + 16

What is the next step? Drag the correct part under the equation. Be sure to put the one labeled left on the left.

d

a

-2x (right side)

/2x (left side)

-2x (left side)

/2x (right side)

Describe what was done in each solving step!

• Combine Like Terms

• Step 2

• Subtract 4x from both sides

• Step 3

• Distribute

• Step 1

Mathematical Equivalence

ON