Question

question
solve for ( x ).
( \frac{4}{x} - \frac{3x + 7}{10x} = 3 )
answer
attempt 1 out of 2
( x = ) input box submit answer

Explanation:

Step1: Find LCM of denominators

Denominators are \(x\) and \(10x\), LCM is \(10x\). Multiply each term by \(10x\):
\(10x \cdot \frac{4}{x} - 10x \cdot \frac{3x + 7}{10x} = 10x \cdot 3\)

Step2: Simplify each term

Simplify: \(40 - (3x + 7) = 30x\)

Step3: Expand and combine like terms

Expand: \(40 - 3x - 7 = 30x\)
Combine: \(33 - 3x = 30x\)

Step4: Solve for \(x\)

Add \(3x\) to both sides: \(33 = 33x\)
Divide: \(x = \frac{33}{33} = 1\)

Answer:

\(1\)