Question

3x+1/5=2x+3/6 find the value of x?

Answer 1

Answer:

3x+1/5=3/6+2x

or, 3x-2x=3/6-1/5

or, x= (15-6)/30

or, x= 9/30

or, x=3/10

SO, x=3/10

Answer 2

Solution:

$\bf{3x + \dfrac{1}{5} = 2x + \dfrac{3}{6}}$

Subtract 2x from both sides

$\dashrightarrow \: \sf{3x - 2x + \dfrac{1}{5} = 2x + \dfrac{3}{6} - 2x }$

On simplifying,

$\dashrightarrow \: \: \sf{x + \dfrac{1}{5} = \dfrac{3}{6} }$

Subtract 1/5 on both sides.

$\dashrightarrow \: \: \sf{x = \dfrac{3}{6} - \dfrac{1}{5} }$

On taking LCM,

$\dashrightarrow \: \: \sf{x = \dfrac{(3 \times 5) - (1 \times 6)}{30} }$

$\dashrightarrow \: \: \sf{x = \dfrac{15 - 6}{30} }$

$\dashrightarrow \: \: \sf{x = \dfrac{9}{30} }$

Dividing by 3 in both numerator and denominator,

$\dashrightarrow \: \: \sf{x = \dfrac{9 \div 3}{30 \div 3} }$

$\dashrightarrow \: \: \sf{x = \dfrac{3}{10} }$

In decimal form;

$\therefore \boxed{ \bf{x = 0.3}}$