Question

2(x - 1)/3=1+3x-6/4 ​

Answer 1

Step-by-step explanation:

I have two different answers of this question one is -2.

as the expression is:

(2x+4)/(3x+6) = 4

now, we can write it as:

(2x+4) = 4* (3x+6)

=> (2x+4) = 12x + 24

bring the terms containing x together one side , we get:

12x - 2x = 4 - 24

=> 10 x = -20

=> x = -20/10

=> x = -2

this is only one answer but if you see this with another phase this question seems too difficult.

we have (2x+4)/(3x+6)=4

we can also write it as 2(x+2)/ 3(x+2) = 4

=> 2/3 = 4

which can never be equal.

so this solution becomes inconsistent....

please correct me if I am wrong.

If anyone have better answer to this question, always welcome.

Answer 2

Answer:

The required value of $x$ is $7$.

Step-by-step explanation:

Given : The expression is, $\frac{2(x-1)}{3} = \frac{1+3x-6}{4}$.

To find : The value of .

Solution :

• The given expression is $\frac{2(x-1)}{3} = \frac{1+3x-6}{4}$  
• We have to find the value of $x$.
• To find the value of $x$, first solve the bracket and then cross multiply the given equation.
• So,

       $\frac{2(x-1)}{3} = \frac{1+3x-6}{4}$

      ∴ $\frac{2x-2}{3} = \frac{3x-5}{4}$

• By cross multiplication, we get

      ∴ $4(2x-2)=3(3x-5)$

      ∴ $8x-8=9x-15$

• Collect the terms with variable at one side and the constant terms at other side, we get

       ∴ $8x-9x=-15+8$

              ∴ $-x=-7$

                ∴ $x=7$

• ∴ The required value of $x$ is $7$.