x 2 -1 4 (x-1 3 )=1 6 (x+1)+1 12 - Vidyadip

Question

$\frac{\text{x}}{2}-\frac{1}{4}\Big(\text{x}-\frac{1}{3}\Big)=\frac{1}{6}(\text{x}+1)+\frac{1}{12}$

✓

Answer

Given, $\frac{\text{x}}{2}-\frac{1}{4\Big(\text{x}-\frac{1}{3}\Big)}=\frac{1}{6}(\text{x}+1)+\frac{1}{12}$$\frac{\text{x}}{2}-\frac{\text{x}}{4}+\frac{1}{12}=\frac{\text{x}}{6}+\frac{1}{6}+\frac{1}{12}$
$\frac{2\text{x}-\text{x}}{4}+\frac{1}{12}=\frac{\text{x}}{6}+\frac{2+1}{12}$
$\frac{\text{x}}{4}+\frac{1}{12}=\frac{\text{x}}{6}+\frac{3}{12}$
$\frac{\text{x}}{4}-\frac{\text{x}}{6}=\frac{3}{12}-\frac{1}{12}$
$\frac{6\text{x}-4}{24}=\frac{3-1}{12}$
$\frac{2\text{x}}{24}=\frac{2}{12}$
$2 \times 12\text{x} = 2 \times 24$
$24\text{x}= 48$
$\frac{24\text{x}}{24}=\frac{48}{24}$
$\text{x} = 2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Linear Equations in One Variable→Linear Equations in One Variable — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

Find the square root of the following by prime factorization.$47089$

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time
(i) the length of the shadow cast by another pole 10 m 50 cm high.
(ii) the height of a pole which casts a shadow 5 m long.

A hollow cylindrical pipe is $21\ dm$ long. Its outer and inner diameters are $10\ cm$ and $6\ cm$ respectively. Find the volume of the copper used in making the pipe.

Ajita starts off from home at $07.00$ hours with her father on a scooter that goes at a uniform speed of $30\ km/h$ and drops her at her school after half an hour. She stays in the school till $13.30$ hours and takes an auto rickshaw to return home. The rickshaw has a uniform speed of $10\ km/h$. Draw the graph for the above situation and also determine the distance of Ajita’s school from her house.

Find the cube root of each of the following natural numbers: $157464$

For an amount, explain why, a $20\%$ increase followed by a $20\%$ decrease is less than the original amount.

A cuboidal tin box opened at the top has dimensions $20cm \times 16cm \times 14cm$. What is the total area of metal sheet required to make $10$ such boxes?

Write the prime factorization of the following numbers and hence find their square roots.
$5929$

A publesher gives $32\%$ discount on the printed price of a book to booksellers. What does a bookseller pay for a book whose printed price is Rs. $275?$

If $x - y = 7$ and $xy = 9,$ find the value of $\left(x^2+y^2\right)$.