Solving Equations with Variables on Both Sides Diagrams

• 2x-6=5x-9

• -6=3x-9

• 3=3x

• 1=x

Solve: 2(4x - 3) - 8 = 4 + 2x

• 5/3

• 3

• 1

• 2

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

The square and equilateral triangle below have the same perimeter. Find the value of x. Then, find the perimeter of each shape. Equation:​ (a)   X = ​ (b)   Perimeter: ​ (c)  

• 2

• 36

• 5

• 42

Mathematical Equivalence

ON

Solve the equation for the variable

Mathematical Equivalence

ON

Solve the equation for the variable

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)

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

Label the two steps in the appropriate spots where they took place.

a

b

Combine like terms

Distributive property