For what value of x is (2x + 1)/3 = (x + 4)/2?

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Linear and Quadratic Equations · Question 6 of 66

Question 6

MediumOriginal question

For what value of $x$ is $\frac{2x + 1}{3} = \frac{x + 4}{2}$ ?

2Correct answerYour answer10Correct answerYour answer11Correct answerYour answer14Correct answerYour answer

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CorrectNot quiteAnswer B

Correct answer: B

Cross-multiply: $2(2x + 1) = 3(x + 4)$ .
Expand: $4x + 2 = 3x + 12$ .
So $x = 12 - 2 = 10$ .

Worth noting

Forgetting to multiply the 4 by 3 gives $4x + 2 = 3x + 4$ , i.e. 2. Forgetting to multiply the 1 by 2 gives 11. Adding the 2 instead of subtracting it gives 14.

Concept: Cross-multiplying an equation with fractions on both sides
Typical timeTypical: 70 s
Your timeYours: —

The rule this testsLinear equations in one variable

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For what value of xxx is 2x+13=x+42\frac{2x + 1}{3} = \frac{x + 4}{2}32x+1​=2x+4​?

Explanation

For what value of $x$ is $\frac{2x + 1}{3} = \frac{x + 4}{2}$ ?