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When 3x + 2 = 5(x - 4) is solved for x, the solution is

a. x ≤ 3
b. x ≤ -11
c. x ≥ 3
d. x ≥ 11

User AllTooSir
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1 Answer

7 votes

Final answer:

The solution to the equation 3x + 2 = 5(x - 4) is found by distributing, combining like terms, and isolating the variable x, which results in x = 11. Therefore, the correct option is d. x ≥ 11.

Step-by-step explanation:

When solving the equation 3x + 2 = 5(x - 4), we first distribute the 5 on the right-hand side of the equation:

3x + 2 = 5x - 20

Next, we combine like terms by subtracting 3x from both sides:

2 = 2x - 20

We then add 20 to both sides to isolate the term with the variable x:

22 = 2x

Finally, we divide both sides by 2 to solve for x:

x = 11

Therefore, the solution to the equation is x = 11. Looking at the provided options, the correct answer is d. x ≥ 11. This indicates that x is greater than or equal to 11, which makes sense since we have found that x is precisely 11.

User SarangaR
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