Question

How to solve eqation of 3x+12/x-6=-7

Answer 1

Answer:

x = 3

Step-by-step explanation:

Given that-

$\dfrac{3x+12}{x-6} = -7$

$(3x+12) = -7(x - 6)$

$3x + 12 = -7x + 42$

$3x + 7x = 42 - 12$

$10x = 30$

$x = \dfrac{30}{10}$

x = 3

Hence, the value of x is 3.

Answer 2

Given:

$\frac{3x+12}{x-6}=-7$

To Find:

The value of "x" = ?

Solution:

On applying cross-multiplication in the above given equation, we get

⇒  $3x+12=-7(x-6)$

⇒  $3x+12=-7x+42$

On adding "7x" both sides, we get

⇒  $3x+12+7x=-7x+42+7x$

⇒  $10x+12=42$

On subtracting "12" from both sides, we get

⇒  $10x+12-12=42-12$

⇒  $10x=30$

⇒  $x=\frac{30}{10}$

⇒  $x=3$

So that the solution of the give equation will be "x = 5".