Solving Equations with Variables on Both Sides

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

Mathematical Equivalence

ON

Solve the equation for the variable

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

9x - 4x - 5 = 10

• 3

• -3

• 1

• 3.5

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

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

Solve:
2x + 1 = 2x - 1

• No Solution

• x = 0

• Infinitely Many Solutions

10x + 9 = 4x - 9

• 0

• 3

• -3

• -18

7w + 5 = 3w - 15

• 5

• -2

• 2

• -5

2x = x + 3

• 6

• 3

• 2

• x

7x = 3x + 24

• 6

• 10

• 14

• 4