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.
