Question

What is the justification for #2 in the equation below. Given: 14=3(x-8)+5. Prove x=11?

Answer 1

To prove x = 11 in the equation 14=3(x-8)+5, substitute x into the equation, simplify, and solve for x.

Step-by-step explanation:

To prove that x = 11 in the equation 14=3(x-8)+5, we need to substitute the value of x into the equation and simplify it. Here's how:

1. Start with the given equation: 14=3(x-8)+5
2. Distribute 3 to the terms inside the parentheses: 14=3x-24+5
3. Combine like terms on the right side: 14=3x-19
4. Add 19 to both sides of the equation: 33=3x
5. Divide both sides by 3 to solve for x: x=11

Therefore, the justification for x=11 in the equation is that it satisfies the equation and makes it true.