Question

solve 2x/3+1=7x/15+3

Answer 1

2x/3 + 1 = 7x/15 + 3
= 2x/3 - 7x/15 = 3 - 2 ( by taking LCM)
(10x-7x)/15 = 2
3x/15 = 2
3x = 30 , x=10

Answer 2

Answer:

The value of the equation $\bold{\frac{2 x}{3}+1=\frac{7 x}{15}+3}$ is 10.

Step-by-step explanation:

To solve the above equation we first solve both the parts separately,

Let us solve the first part,

$\frac{2 x}{3}+1=\frac{2 x+3}{3}$

After this, let us solve the second part

$\frac{7 x}{15}+3=\frac{7 x+45}{15}$

Equate both the parts together we get

$\frac{2 x+3}{3}=\frac{7 x+45}{15}$

Now on doing cross multiplication we get,

15(2x+3)=3(7x+45)

30x+45=21x+135  

On solving this we get,

9x=90  

x=10  

Therefore, the value of x after solving the equation $\bold{\frac{2 x}{3}+1=\frac{7 x}{15}+3 \text { is } 10}$