Question

48=15+6(4+x)-3x use the distributive property AND show the steps of the process look at my other questions for reference

Answer 1

To solve the equation 48 = 15 + 6(4 + x) - 3x, the distributive property is applied, like terms are combined, and the equation is simplified to isolate x, resulting in the solution x = 3.

Step-by-step explanation:

To solve the equation 48 = 15 + 6(4 + x) - 3x using the distributive property, follow these steps:

1. Apply the distributive property to the term 6(4 + x): 48 = 15 + 6 × 4 + 6 × x - 3x.
2. Simplify the multiplication within the equation: 48 = 15 + 24 + 6x - 3x.
3. Combine the like terms: 48 = 39 + 3x.
4. Subtract 39 from both sides of the equation to isolate the variable term: 48 - 39 = 3x, which simplifies to 9 = 3x.
5. Finally, divide both sides by 3 to solve for x: x = 9 / 3, which gives x = 3.

The solution to the equation is x = 3.