Question

Create your own equation, including the distributive property and variables on both sides, with a solution of 13

Option 1: 2x + 3(x - 4) = 13
Option 2: 4(2x + 1) - 5x = 13
Option 3: 3(x + 2) + 2(3x - 1) = 13
Option 4: 2(4x + 1) - 3(2x - 2) = 13

Answer 1

To solve an equation like 2x + 3(x - 4) = 13, apply the distributive property, combine like terms to form 5x - 12 = 13, add 12 to both sides to obtain 5x = 25, then divide by 5 to find that x = 5.

Step-by-step explanation:

To solve an equation involving the distributive property with variables on both sides, you must first apply the distributive property, combine like terms, and then isolate the variable. Let's take Option 1 and solve it step by step.

1. Apply the distributive property: 2x + 3(x - 4) = 13 becomes 2x + 3x - 12 = 13.
2. Combine like terms: 5x - 12 = 13.
3. Isolate the variable: Add 12 to both sides to get 5x = 25, then divide by 5 to get x = 5.

The solution to the equation 2x + 3(x - 4) = 13 is x = 5.