Equations Variable on Both Sides of 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

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

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

10x + 9 = 4x - 9

• x = 0

• x = 3

• x = -3

• x = -18

Solve for x:

3x - 7 = -5x + 17

• x = 5

• x = 12

• x = 3

• x = 1.2

Which statement best describes the first step to the equation?

• Add 3 to both sides

• Add 11 to both sides

• Get the variables on one side

• Add 2 to both sides

8x - 8 = -4x + 16

• x = 8

• x = 16

• x = 24

• x = 2

7w + 5 = 3w - 15

• w = 5

• w = -2

• w = 2

• w = -5

Solve the equation
12x - 15 = 3(2x+3)

• x = 4

• x = -4

• x = 2

• x = -2