Describing Steps Used to Solve an Equation with Decimals
Examine the steps used to solve the equation.
12.5x − 10.2 = 3(2.5x + 4.2) - 6
1. 12.5x − 10.2 = 7.5x + 12.6 − 6
2. 12.5x − 10.2 = 7.5x + 6.6
3. 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
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