Question

2/3(x+3/5)= 7/2 solve​

Answer 1

2/3 ( x + ⅗ ) = 7/2

2x/3 + 2/3 x 3/5 = 7/2

2x/3 + 2/5 = 7/2

2x/3 = 7/2 - 2/5

LCM = 10

2x/3 = ( 7 x 5 - 2 x 2 ) / 10

2x/3 = ( 35 - 4 ) / 10

2x/3 = 31/10

Cross multiplying

2x ( 10 ) = 31 x 3

20x = 93

x = 93/20

Answer 2

Question :

• $\sf \dfrac{2}{3} \Bigg(x+ \dfrac{3}{5} \Bigg) = \dfrac{7}{2}$

⠀ ⠀⠀ ⠀

Solution :

$\sf \dashrightarrow \dfrac{2}{3} \Bigg(x+ \dfrac{3}{5} \Bigg) = \dfrac{7}{2}$

$\sf \dashrightarrow \Bigg(\dfrac{2}{3} \times x\Bigg) + \Bigg(\dfrac{2}{3} \times \dfrac{3}{5} \Bigg) = \dfrac{7}{2}$

$\sf \dashrightarrow \dfrac{2x}{3} + \dfrac{6}{15} = \dfrac{7}{2}$

$\sf \dashrightarrow \dfrac{2x \times 5}{3\times 5} + \dfrac{6}{15} = \dfrac{7}{2}$

$\sf \dashrightarrow \dfrac{10x}{15} + \dfrac{6}{15} = \dfrac{7}{2}$

$\sf \dashrightarrow \dfrac{10x + 6}{15} = \dfrac{7}{2}$

$\sf \dashrightarrow 10x + 6 = \dfrac{7}{2} \times 15$

$\sf \dashrightarrow 10x + 6 = \dfrac{105}{2}$

$\sf \dashrightarrow 10x = \dfrac{105}{2} - 6$

$\sf \dashrightarrow 10x = \dfrac{105}{2} - \dfrac{6 \times 2}{2}$

$\sf \dashrightarrow 10x = \dfrac{105}{2} - \dfrac{12}{2}$

$\sf \dashrightarrow 10x = \dfrac{105 - 12}{2}$

$\sf \dashrightarrow 10x = \dfrac{93}{2}$

$\sf \dashrightarrow x = \dfrac{93}{2 \times 10}$

$\sf \dashrightarrow x = \dfrac{93}{20}$

$\sf \dashrightarrow x = 4.65$

$\Large \underline{\boxed{\bf{x = 4.65}}}$

⠀⠀ ⠀

Hence, value of x is 4.65.