What is x if 3x/5 - 2 = 10?

Linear and Quadratic Equations · Question 5 of 66

Question 5

EasyOriginal question

What is $x$ if $\frac{3x}{5} - 2 = 10$ ?

\frac{36}{5}

Correct answerYour answer12Correct answerYour answer

\frac{40}{3}

Correct answerYour answer20Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Add 2 to both sides: $\frac{3x}{5} = 12$ .
Multiply by 5 and divide by 3: $x = \frac{12 \times 5}{3} = 20$ .

Worth noting

12 is $\frac{3x}{5}$ , not $x$ . $\frac{36}{5}$ comes from multiplying by $\frac{3}{5}$ instead of dividing by it, and $\frac{40}{3}$ from subtracting the 2 instead of adding it.

Concept: Undoing a fractional coefficient
Typical timeTypical: 40 s
Your timeYours: —

The rule this testsLinear equations in one variable

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What is xxx if 3x5−2=10\frac{3x}{5} - 2 = 1053x​−2=10?

Explanation

What is $x$ if $\frac{3x}{5} - 2 = 10$ ?