Math: Algebra

SAT Question of the Day for October 24, 2026

What is the value of

x

in the equation

4(3x + 7) = 11x + 51

A. $23$ Correct answer
B. $\frac{51}{11}$
C. $79$
D. $-23$

Explanation

Distributing on the left side gives

12x + 28 = 11x + 51

. Subtracting

11x

from both sides yields

x + 28 = 51

. Subtracting 28 from both sides gives

x = 23

. The value

\frac{51}{11}

comes from ignoring the distributed left side entirely and solving

11x = 51

. The value

79

comes from incorrectly adding

28 + 51

instead of subtracting. The value

-23

results from a sign error when moving terms across the equation.

How to use this question

Try the question before you read the explanation: cover it, commit to an answer, and then compare your reasoning with the worked solution. If you missed it, note the step where your approach went wrong rather than only the correct letter, and look for that same step the next time you see a similar question.

Every past question stays here with its answer and explanation, and a new question is posted every day.

Explanation

How to use this question

Try today's question