Examine the steps used to solve the equation.

12.5x - 10.2 = 3 (2.5x + 4.2) - 6

12.5x - 10.2 = 7.5x + 12.6 - 6

12.5x - 10.2 = 7.5x + 6.6

12.5x = 7.5x + 16.8 4. 5x = 16.8

5. x = 3.36

Analyze the steps to determine which properties or procedures were used to complete each step

see below

Step-by-step explanation:

12.5x - 10.2 = 3 (2.5x + 4.2) - 6

Use the distributive property to distribute the 3

12.5x - 10.2 = 7.5x + 12.6 - 6

Combine like terms

12.5x - 10.2 = 7.5x + 6.6

Add 10.2 to each side of the equation by using the addition property of equality

12.5x = 7.5x + 16.8

Subtraction 7.5x from each side of the equation by using the subtraction property of equality

5x = 16.8

Divide by 5 on each side by using the division property of equality

x = 3.36

Step 1 distributive property

Step 2 combining like terms

Step 3 addition property

Step 4 subtraction property

Step 5 division property