Question

solve the following equation and verify your answer.
$\frac{(1 - 2x) \: + \: (1 + 2x)}{(4x + 1) \: + \: (x - 3)} \: = \: \frac{1}{2}$

please help me to solve this
class- 8
chapter- linear equation in one variable

Answer 1

Answer:

34

Step-by-step explanation:

thanks make me brainleist

Answer 2

Answer: The value of x is 6/5 or 1.2

Step-by-step explanation:

The given equation is, $\frac{(1-2x)+(1+2x)}{(4x+1)+(x-3)} = \frac{1}{2}$

Let's simplify by opening the brackets,

We get, $\frac{1-2x+1+2x}{4x+1+x-3} = \frac{1}{2}$

Adding and subtracting the like terms,

$\frac{2}{5x-2} = \frac{1}{2}$

Now, lets multiply $5x - 2$ on both sides,$\frac{6}{5} = x$

$\frac{2}{5x-2}(5x-2) = \frac{1}{2}(5x-2)$

Simplifing, $2=\frac{5x-2}{2}$

Multiplying 2 on both sides,

$2(2)=\frac{5x-2}{2}(2)$

Therefore, we get, $4=5x-2$

Adding 2 on both sides,

$4+2=5x-2+2$

$6 = 5x$

Lastly, lets divide 5 on both sides,

$\frac{6}{5} = x$

Hence the value of x is 6/5 or 1.2

You can put this value in equation and verify.