Solving Equations with Variables 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

What is the first step you should take to solve this equation: 3(x-2) = 2x + 7

• Add 2 to both sides

• Use the distributive property to get rid of the parentheses

• Isolate the variable on one side

• Subtract 7 from both sides

Solve the equation:

3x + 2(4x - 4) = 3

• 4

• 3

• 2

• 1

What is the next step to solve this equation?

-4x + 6 = 10

• Subtract 6 from both sides of the equation

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Subtract 4x from both sides of the equation

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add the 2a and a 

• Add 4 to both sides

• Distribute +4 to the a and -5

• Distribute -4 to a and -5

Solve:
7x = 3x + 24

• 6

• 10

• 14

• 4

Solve:
5y + 34 = -2(-7y+1)

• y = -4

• y = 9

• y = 4

• y = 36/19

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

• add 1 to both sides

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

13y - 18 = -5y + 36

• y = 3

• y = -3

• y= 9

• y = -9