To order the steps in the solution to the equation 6(x - 3) = 5(x - 2), let's go through each step and determine the order of the reasons:
Step 1: Distribute the 6 to the terms inside the parentheses:
6(x - 3) = 5(x - 2)
Reason: Applying the distributive property.
Step 2: Simplify both sides of the equation by multiplying:
6x - 18 = 5x - 10
Reason: Simplifying the equation by performing the multiplication.
Step 3: Combine like terms on both sides of the equation:
6x - 5x = -10 + 18
Reason: Combining like terms to simplify the equation.
Step 4: Simplify both sides of the equation by adding:
x = 8
Reason: Simplifying the equation by performing the addition.
The correct order of the reasons for the steps in the solution to the equation 6(x - 3) = 5(x - 2) is:
1. Applying the distributive property.
2. Simplifying the equation by performing the multiplication.
3. Combining like terms to simplify the equation.
4. Simplifying the equation by performing the addition.
