In the equation, which is true about the value of x? 3x + 7(x + 1) = 2(6x + 5) − 2x
A.No solution
B.One solution
C. Infinite solutions
D.x = 7, x = 10

Respuesta :

Option A

ANSWER:  

In the equation, 3x+7(x + 1) = 2(6x + 5) -2x ,no solution exists for “x”

SOLUTION:

Given equation is 3x + 7(x + 1) = 2(6x + 5) − 2x

By multiplying the terms within the bracket, we get

3x + 7x + 7 = (2)6x + (2)5 – 2x

On simplifying the above equation, we get

3x + 7x + 7 = 12x +10 -2x

10x + 7 = 10x + 10

By moving the terms from right side to left side, we get

(10x -10x) + (7 – 10) = 0  

0 + (-3) = 0

-3 = 0

[tex]\text { L.H.S } \neq \mathrm{R.H.S}[/tex]

Hence the given equation is invalid for any value of x

So, there is no solution, which satisfies the given equation.