Question

if x/2+x/6 = x-7/9, then what is the value of x?

Answer 1

Answer:

x = 7/3

Step-by-step explanation:

x/2 + x/6 = 3x/6 + x/6 = 4x/6 = 2x/3 = LHS

=> 2x/3 = x - 7/9

7/9 = x - 2x/3 = x/3

Solve to find x = 7/3

Answer 2

To find : value of $x$

Given : $\frac{x}{2} + \frac{x}{6} = \frac{x - 7}{9}$

Solution :

• According to question we are given that $\frac{x}{2} + \frac{x}{6} = \frac{x - 7}{9}$  from this we have to find the value $x$ .

• Therefore , to find the value of $x$ we first add terms at LHS .

                $\frac{6x + 2x}{12} = \frac{x - 7}{9} \\\frac{8x}{12} = \frac{x -7 }{9}$  

• Now , cross multiplying both the sides , and by simple addition and subtraction we find $x$

                  $72x = 12x - 84 \\84 = 12x - 72x \\84 = - 62x \\x = -1.35$

Hence, value of $x$ is $-1.35$