Linear Equations with Variable on Both Sides

Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

• The student found an incorrect common denominator

• The student did not multiply all terms by the common denominator

• The student did not use opposite operations appropriately

• The student did not correctly eliminate the variable from one side of the equation

Solve:
7x = 3x + 24

• 6

• 10

• 14

• 4

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

Where is the first mistake?

• Distribution of the 5

• Distribution of the 10

• subtracting 60x from both sides

• dividing by -50

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

Solve for x:
4(1-x)+3x=-2(x+1)

• x = -6

• x = 6

• x = 3

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Be confused

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

• x = 5/3

• x = 3

• x = 1

• x = 2

Solve for x: 
4x + 1 = 7x - 5

• -1

• 2

• 6/11

• 8

Solve for x:
2(3x + 4) + 2 = 4 + 3x

• 2

• -2/3

• 10

• -2