Answer:
[tex]\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ \dfrac{5}{12}}}}[/tex]
Step-by-step explanation:
A linear equation is given to us and we need to solve the equation by converting it into a equivalent equation that does not contain fractions . So the given equation is :-
[tex]\bf\implies \dfrac{3}{5}x + \dfrac{1}{2}=\dfrac{3}{4}[/tex]
Here the denominators of the fractions are 5 , 2 and 4. So LCM of 5 , 2 and 4 is , 20 .
So , Multiply whole equation by 20 .
[tex]\bf\implies 20 \bigg( \dfrac{3}{5}x + \dfrac{1}{2} \bigg) = 20 \times \dfrac{3}{4}\\\\\bf\implies 4\times 3x + 10 = 5\times 3 \\\\\bf\implies 12x + 10 = 15 \:\: \bigg\lgroup \blue{\bf Equivalent \ equation \ without \ fractions .}\bigg\rgroup [/tex]
Now let's solve this equation since we successfully converted it into a equivalent equation without fractions.
[tex]\bf \implies 12x + 10 = 15 \\\\\bf\implies 12x = 15-10 \\\\\bf\implies 12x = 5 \\\\\bf\implies\boxed{\red{\bf x =\dfrac{5}{12}}}[/tex]
★ Hence the value of x is 5/12 .
