Chapter SH, Problem 2.12EP

To determine

To calculate the value of $x$

Answer to Problem 2.12EP

  $x=\frac{2}{25}$

Explanation of Solution

Given information:

Equation given is $\frac{x}{2}+\frac{1}{5}=3x$

Formula used:

Lowest common factor and cross multiplication method

Calculation: using lowest common factor on the left hand side

  $\frac{5x+2}{10}=\frac{3x}{1}$

Using cross multiplication method

  $5x+2=30x$

Subtracting five x from both sides

  $5x-5x+2=30x-5x$

Solving it for x

  $2=25x$

Dividing both sides by twenty five and calculating the final answer is

  $x=\frac{2}{25}$