Question

Solve the equation 2(x+1) - 5 = 13.
a) x = 16
b) x = 8
c) x = 18
d) x = 25

Answer 1

To solve the equation 2(x+1) - 5 = 13, the steps include distributing the 2, combining like terms, and isolating x. The solution is found to be x = 8, which corresponds to option b.

Step-by-step explanation:

To solve the equation 2(x+1) - 5 = 13, we first distribute the 2 to the terms inside the parentheses and then isolate the variable x.

1. Multiply 2 by each term inside the parentheses: 2*(x) + 2*(1) - 5 = 13, which simplifies to 2x + 2 - 5 = 13.
2. Combine like terms: 2x - 3 = 13.
3. Add 3 to both sides of the equation to isolate the term with the variable: 2x = 13 + 3, which simplifies to 2x = 16.
4. Divide both sides of the equation by 2 to solve for x: x = 16/2, which simplifies to x = 8.

Thus, the correct answer is b) x = 8.