Question

find the value of x in the equation 6x-2(x-3)=3(x+4)​

Answer 1

y−6x=2

⇒y=2+6x

⇒y=2+6×3 at x=3

⇒y=2+18=20

∴y=20

Answer 2

Given: $6x-2(x-3)=3(x+4)$

We have to find the value of$x$.

• By using the concept of equation shifting, we are solving the above equation.  
• For this, we will separate the variables on one side and the constant on another side.
• Then, we will simplify the equation.  

We are solving in the following way:  

We have,

$6x-2(x-3)=3(x+4)$

Solving the brackets:

$6x-2x+6=3x+12$

Solving like terms:

$=>6x-2x-3x=12-6\\=>6x-5x=6\\=>x=6$

Hence, the value of$x$ will be$6$.