Question

Use the Distributive Property to solve the equation:

5x - 3(x - 3) = -6 + 4x + 3
The solution of the equation is (Type the value of x).
a. x = -3
b. x = 3
c. x = 6
d. x = -6

Answer 1

The equation 5x - 3(x - 3) = -6 + 4x + 3 is solved using the Distributive Property and combining like terms to isolate x, resulting in the solution x = 6, which corresponds to option c.

Step-by-step explanation:

To solve the equation 5x - 3(x - 3) = -6 + 4x + 3 using the Distributive Property, follow these steps:

1. Distribute the -3 across the terms inside the parenthesis: -3 (x) + 9.
2. Combine like terms on each side of the equation: 5x - 3x + 9 = -6 + 4x + 3.
3. Simplify the equation: 2x + 9 = 4x - 3.
4. Subtract 2x from both sides to get 2x - 2x + 9 = 4x - 2x - 3, which simplifies to 9 = 2x - 3.
5. Add 3 to both sides to isolate the variable term: 9 + 3 = 2x - 3 + 3, resulting in 12 = 2x.
6. Finally, divide both sides by 2 to find the value of x: x = 6.

Therefore, the correct answer is option c, x = 6.