Question

charlie used these steps to solve the equation 6x + 5 = 1 + 23x+2. which choice describes the meaning of his result, 5 = 5? step 1: 6x + 5 = 1 + 2(3x + 2) step 2: 6x + 5 = 1 + 6x + 4 step 3: -6x -6x step 4: 5 = 1 + 4 step 5: 5 = 5 no values of x make the equation true. all values of x make the equation true. the result is not correct because step 2 has an error. the solution is x = 5.

Explanation:

Step1: Expand the right - hand side

Starting with the equation $6x + 5=1 + 2(3x + 2)$. Expand $2(3x + 2)$ using the distributive property $a(b + c)=ab+ac$. So, $2(3x + 2)=6x + 4$, and the equation becomes $6x + 5=1+6x + 4$.

Step2: Simplify the right - hand side

Combine like terms on the right - hand side: $1+6x + 4=6x + 5$. So the equation is $6x + 5=6x + 5$.

Step3: Analyze the result

Subtract $6x$ from both sides of the equation $6x + 5=6x + 5$. We get $5 = 5$. This is a true statement for all real values of $x$.

Answer:

All values of x make the equation true.