Solving Equations with variables on both sides

5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

7x - 4 = 3 + 8x

• x = 7
• x = -7
• x = 2/7
• x = 11

f - 4 = 6f + 26

• f = -5
• f = 5
• f = 6
• f = -6

10x + 9 = 4x - 9

• 0
• 3
• -3
• -18

-5k + 10 = -2k - 14

• 8
• -8
• 2
• -2

6(5g+ 2)=30g

• g=2
• g=12
• all real numbers
• no solution

Tags

CCSS.8.EE.C.7A

5(2x -1) = -5+ 10x

• x = 5
• x = 0
• all real numbers
• no solution

Tags

CCSS.8.EE.C.7B

Solve for the variable.

22+2a=37+6+a

• a = 21

• a = 5

• a = -5

• a = -16

What is the first step to solve this equation?

3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

Tags

CCSS.6.EE.A.3

CCSS.6.EE.B.5

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

Tags

CCSS.8.EE.C.7B