Question

solve the following equations and check the solution 3 6x+1 ​ +1= 6 x−3 ​ ​

Answer 1

Answer:

Given,

3

(6x+1)

+1=

6

(x−3)

,

⇒

3

(6x+4)

=

6

(x−3)

⇒

1

(6x+4)

=

2

(x−3)

On rearranging,

⇒ 12x+8=x−3

⇒ 12x−x=−3−8

⇒ x=−1.

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Answer 2

Answer:

The value of x is (-11/30).

Step-by-step explanation:

We need to solve the following expression :

6x+\dfrac{1}{3}+1=x-\dfrac{3}{6}6x+

3

1

+1=x−

6

3

Taking variable in one side and constant term in the other side of the equation

\begin{gathered}6x-x=\dfrac{-3}{6}-\dfrac{1}{3}-1\\\\5x=\dfrac{-11}{6}\\\\x=\dfrac{-11}{30}\end{gathered}

6x−x=

6

−3

−

3

1

−1

5x=

6

−11

x=

30

−11

So, the value of x is (-11/30).

$The value of x is (-11/30). \\ </p><p></p><p>Step-by-step explanation:</p><p></p><p>We need to solve the following expression :</p><p></p><p>6x+\dfrac{1}{3}+1=x-\dfrac{3}{6}6x+31+1=x−63</p><p></p><p>Taking variable in one side and constant term in the other side of the equation</p><p></p><p>\begin{gathered}6x-x=\dfrac{-3}{6}-\dfrac{1}{3}-1\\\\5x=\dfrac{-11}{6}\\\\x=\dfrac{-11}{30}\end{gathered}6x−x=6−3−31−15x=6−11x=30−11</p><p></p><p>So, the value of x is (-11/30).</p><p></p><p>$