Solving Equations with the Variable on Both Sides

Solve for f:
 $f-4=6f+26$  

Solve for x:
 $5x-15=8x+6$  

Solve the equation.  If there is no solution, type "no solution".  If there are infinitely many solutions, type "IMS".  
 $5y+34=-2(-7y+1)$  

Solve the equation. If there is no solution, type "no solution". If there are infinitely many solutions, type "IMS". 
 $3-2x+1=-2\left(x-2\right)$  

Solve the equation. If there is no solution, type "no solution". If there are infinitely many solutions, type "IMS".
 $6x-2=8x$   

Solve the equation. If there is no solution, type "no solution". If there are infinitely many solutions, type "IMS". 
 $9-8t=17t-21$  

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours
• 3 hours
• 4 hours
• 5 hours

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours
• 4 hours
• 1 hour
• 2 hours

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Solve the equation. If there is no solution, type "no solution". If there are infinitely many solutions, type "IMS".
 $x-3\left(2-x\right)=4\left(x-2\right)+3$  

Solve the equation. If there is no solution, type "no solution". If there are infinitely many solutions, type "IMS". 
 $2-5\left(x-2\right)=-x+4\left(2-x\right)$