Solving Equations with variables on both sides of equals

Solve the following equation for  $x.$ 

  $5x\ -\ 6\ =\ 8\ -\ 2x$  

•  $x\ =\ 2$  

•  $x\ =\ -4\ \frac{2}{3}$  

•  $x=\ -2$  

•  $x\ =-\frac{2}{3}$  

Which of the following steps would NOT be a correct step towards solving the equation below:

 $-14x\ -\ 7\ =\ 3x\ +\ 2$  

• Combining  $-14x$  and  $3x$  to get  $-11x.$  

• Adding 7 to both sides of the equation.

• Subtracting 2 from both sides of the equation. 

• Subtracting  $3x$  from  $-14x$  to get  $-17x.$   

 $1+7a\ +\ 6\ -\ 13\ =\ 6a\ +\ 3a$  

• 5

• -3

• All Real Numbers

• No Solution

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Tags

CCSS.HSA.REI.A.1

Solve:
2(4x - 3) - 8 = 4 + 2x

• x = 5/3
• x = 3
• x = 1
• x = 2

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

• y = -4
• y = 9
• y = 4
• y = 36/19

2(x + 6) + 3 = 9 + 5x

• 16
• 2
• -8
• -10

1 + 9a - 8 = 8a

• a = 7
• all real numbers
• no solution
• a = =9

14p - 8 = 22 + 20p

• p = -5

• p = 5

• p = 30

• p = -6

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