Question

Q:- find the value of x and find the value of x
2(3x+1)=12+2(4x+3)​

Answer 1

Answer:

$\huge\boxed{\fcolorbox{red}{orange}{Answer}}$

6x+2=12+8x+6

=>6x+2=8x+18

=>8x-6x=2-18

=>2x=-16

=>x=-16/2

Hence,the value of x is -8

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Answer 2

Working out:

Here in this question, we are given with an equation in variable x and we have to find the value of x in this equation.

GiveN:

• 2(3x + 1) = 12 + 2(4x + 3)

So, let's start solving and understanding the steps followed to get the value for x....?

$\sf{ \longrightarrow{2(3x + 1) = 12 + 2(4x + 3)}}$

Opening the parentheses in both sides of the equation,

$\sf{ \longrightarrow{6x + 2 = 12 + 8x + 6}}$

Adding the constant terms and like terms,

$\sf{ \longrightarrow{6x + 2 = 8x + 18}}$

Now as we need to find x in this equation, let's isolate x in any one side of the equation,

$\sf{ \longrightarrow{6x - 8x = 18 - 2}}$

$\sf{ \longrightarrow{ - 2x = 16}}$

We know that inverse of multiplication is dividion. So, dividing -2 from both sides,

$\sf{ \longrightarrow{ \dfrac{ - 2x}{ - 2} = \dfrac{16}{ - 2} }}$

$\sf{ \longrightarrow{x = - 8}}$

So, the required value for x:

$\huge{ \boxed{ \red{ \sf{ - 8}}}}$

And we are done !!

Quick check:

Plug this value of x in the equation:

$\sf{ \longrightarrow{2(3 \times ( - 8) + 1) = 12 + 2(4 \times ( - 8) + 3)}}$

Now opening the parentheses,

$\sf{ \longrightarrow{2( - 24 + 1) = 12 + 2( - 32 + 3)}}$

$\sf{ \longrightarrow{2( - 23) = 12 + 2( - 29)}}$

$\sf{ \longrightarrow{ - 46 = - 46}}$

Here LHS = RHS

✤ Hence, verified !!