Solving Equations: Variables on Both Sides

Solve

 $5x-14=8x+4$  

• x = 6

• x = -6

• x = -18/13

• x = 10/3

Solve

 $10x+9=4x-9$  

• 0

• 3

• -3

• -18

Solve

 $7x=3x+24$  

• 6

• 10

• 14

• 4

Solve:

 $5y+34=-2(-7y+1)$  

• y = -4

• y = 9

• y = 4

• y = 36/19

A rectangle is shown with algebraic expressions that represent its dimensions. Which equation may be used to find the perimeter of this rectangle when the perimeter is 144 meters?

• (4x + 8 )(2x + 3) = 144

• 2(4x + 8) + 2(2x + 3) = 144

• 4x + 8 = 2x + 3

• (4x + 8) - (2x + 3) = 144

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 the equation

 $12x-15=3(2x+3)$  

• x = 4

• x = -4

• x = 2

• x = -2

Write a simplified equation to find the value of x so that each polygon has the same perimeter.

•  $68x+26$  

•  $12x=6x+26$  

•  $60x=8x+26$  

•  $5\left(12x\right)=6x+26$  

What is the value of x if both perimeters are the same?

Hint: Use your equation from the last question!

•  $x=0.48$  

•  $x=0.3823..$  

•  $x=0.5$  

Solve

 $7w+5=3w-15$  

• 5

• -2

• 2

• -5