Question

7(x-5) 1 = -83 justifications

Answer 1

To solve the equation 7(x-5)+1 = -83, distribute 7 to the terms inside the parentheses, combine like terms, isolate the variable, and solve for x. The solution is x = -7.

Step-by-step explanation:

To solve the equation 7(x-5)+1 = -83, we need to isolate the variable x. Here are the steps:

1. Distribute the 7 to the terms inside the parentheses: 7x - 35 + 1 = -83
2. Combine like terms: 7x - 34 = -83
3. Add 34 to both sides to isolate the variable: 7x = -83 + 34
4. Simplify: 7x = -49
5. Divide both sides by 7 to solve for x: x = -49/7
6. Simplify the fraction: x = -7

Therefore, the solution to the equation is x = -7.