Question

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

Answer 1

Step 1:

✔ distributive property

Step 2:

✔ combining like terms

Step 3:

✔ addition property of equality

Step 4:

✔ subtraction property of equality

Step 5:

✔ division property of equality

Explanation:

Just did the assignment.

Answer 2

see below

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