Solving Equations Variable on Both Sides

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

Solve the equation for the variable

Mathematical Equivalence

OFF

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

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

• x=5/3

• x=3

• x=1

• x=2

Solve the equation for the variable

• 5

• 10

• 12

• 17

Solve the equation for the variable

Solve the equation for the variable

• 5

• no solution

• identity

• -5

You rewrote the equation after multiplying the LCD 4 to equal 2x - 20 = 3x + 12 What is the value of x?

Mathematical Equivalence

ON