Question

x+2/x+5=x/x+6 pls find the answer fast with steps

Answer 1

Answer:

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Answer 2

Answer:

The value of 'x' will be :-

➵ (-4)

Step-by-step explanation:

Given:-

The equation is (x+2)/(x+5) = x/(x+6)

To find:-

The value of x in the equation

Solution:-

As the given equation is an example of Linear Equation in 1 variable.

We have to evaluate the equation is find the value of x

⇒ (x+2)/(x+5) = x/(x+6)

⇒ (x+2)(x+6) = x(x+5)

⇒ x²+6x+2x+12 = x²+5x

⇒ x²+8x+12 = x²+5x

⇒ x²-x²+8x-5x = (-12)

⇒ 3x = (-12)

⇒ x = (-12)/3

⇒ x = (-4)

The value of x we got as (-4)

Check:-

Now, we can check that the answer is correct or not by putting the value of x in the equation.

If the value of x is (-4) , then it must satisfy the equation.

⇒ (x+2)/(x+5) = x/(x+6)

⇒ {(-4)+2}/{(-4)+5} = (-4)/{(-4)+6}

⇒ (-2/1) = (-4/2)

⇒ (-2/1) = (-2/1)

⇒ (-2) = (-2)

L.H.S = R.H.S

Answer:-

Hence, The value of 'x' is (-4).