Question

Simplify:
x simplify X upon 2 minus 1 upon 5 equals to X upon 3 + 1 upon 4 ​

Answer 1

Answer:

answer is x = 27/10

Step-by-step explanation:

x/2 - 1/5 = x/3 + 1/4

x/2 - x/3 = 1/4 + 1/5

(3x - 2x)/6 = (5 + 4)/20

x/6 = 9/20

x = (9 × 6)/20

x = 54/20

x = 27/10

Answer 2

After simplifying  $x =\dfrac{27}{10}$.

Step-by-step explanation:

We are given with the following expression to simplify for x ;

$\frac{x}{2}-\frac{1}{5} = \frac{x}{3}+\frac{1}{4}$

Firstly, moving the term having x on one side and without x to the another side, i.e;

$\frac{x}{2}- \frac{x}{3} =\frac{1}{4}+\frac{1}{5}$

Now, making denominator same on both sides of the equation, we get;

$\frac{x\times 3}{2\times 3}- \frac{x\times 2}{3\times 2} =\frac{1\times 5}{4\times 5}+\frac{1\times 4}{5\times 4}$

$\frac{3x}{6}- \frac{2x}{6} =\frac{ 5}{20}+\frac{4}{20}$

$\frac{3x-2x}{6} =\frac{ 5+4}{20}$

$\frac{x}{6} =\frac{ 9}{20}$

Now, moving 6 to the right side of the equation;

$x=\frac{ 9}{20}\times 6$

$x=\frac{ 54}{20}$

$x =\frac{27}{10}$

Hence, the value of x after simplifying the given expression is $x =\frac{27}{10}$.