Solving Equations with Variables on Both Sides Distribution

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

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

Describe what was done in each solving step!

• Divide by -10 on both sides

• Step 2

• Distribute

• Step 3

• Subtract 10 from both sides

• Step 4

• Subtract 4x from both sides

• Step 1

• Combine Like Terms

• Step 5

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 (left side)

/2x (left side)

/2x (right side)

-2x (right side)

Solve the equation for the variable

• no solution

• 0

• 6x

• 6

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Solve the equation for the variable

• 4

• -10

• 1

• -1