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

Step-by-step 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

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .