Question

Ame:_________________________ Period:________________________ Group:________________________ Provide a reason for each step in solving the equation shown below. 2x - 2 - 3x - 6 = 8 - 4x Original Equation 2x - 2 - 3x - 6 = 8 - 4x -1x - 8 = 8 - 4x -1x + 4x - 8 = 8 - 4x + 4x 3x - 8 = 8 3x - 8 + 8 = 8 + 8 3x = 16/3 x=5 1/3

Answer 1

x = 5 1/3

Explanation:

Given the equation

2x - 2 - 3x - 6 = 8 - 4x

We need to get the value of x.

Given

2x - 2 - 3x - 6 = 8 - 4x

Step 1: Collect the like terms

(2x-3x)-2-6 = 8-4x

-x-8 = 8-4x

Step 2: Add 4x to both sides of the equation:

-x-8 + 4x= 8-4x+4x

-x+4x -8 = 8

3x-8 = 8

Step 3: Add 8 to both sides of the equation:

3x-8+8 = 8+8

3x+0 = 16

3x = 16

Step 4: Divide both sides by 3

3x/3 = 16/3

x = 16/3

Step 5: convert the resulting improper fraction to mixed fraction:

x = 5 1/3