Advertisements
Advertisements
Question
Solve: `(3"x" - 2)/7 - ("x" - 2)/4 = 2`
Solution
`(3"x" - 2)/7 - ("x" - 2)/4 = 2`
⇒ `(12"x" - 8 - 7"x" + 14)/28 = 2`
⇒ `(5"x" + 6)/28 = 2`
⇒ 5x + 6 = 28 × 2
⇒ 5x + 6 = 56
⇒ 5x = 56 - 6 = 50
⇒ x = `50/5 =10`
∴ x = 10
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
`("x"+2)/9 = ("x" + 4)/11`
Solve the following equation:
3(x + 1) = 12 + 4(x - 1)
Solve the following equation:
`3"a" - 1/5 = "a"/5 + 5 2/5`
Solve the following equation:
`7/10`x + 6 = 41
0.4x – 1.2 = 0.3x + 0.6
Solve: `"3x"/4 + "4x" = 38`
Solve: `"x"/3 - "x"/4 = 2`
The sum of three consecutive even numbers is 54. Find the numbers.
A man has ₹ x from which he spends ₹6. If twice of the money left with him is ₹86, find x.
If 5 is subtracted from three times a number, the result is 16. Find the number.
Solve the following equations for the unknown: `(2x + 3)/(x + 7) = (5)/(8), x ≠ -7`
Solve the following equations for the unknown: `(3)/(x + 1) - (x - 6)/(x^2 - 1) = (12)/(x - 1)`
Solve the following equations for the unknown: `(1)/(2)(y - 1/3) + (1)/(4)(2y + 1/5) = (3)/(4)(y - 1/12)`
Solve the following equations for the unknown: `(1)/(5) = (3sqrt(x))/(3)`
Solve the following equations for the unknown: `2sqrt((x - 3)/(x + 5)) = (1)/(3)`
The difference of the squares of two consecutive even natural numbers is 68. Find the two numbers.
A steamer goes in downstream from one port to another in 4hours. It covers the same distance in upstream in 5 hours. If the speed of the stream be 2 km/h, find the distance between the two ports.
A boy played 100 games, gaining Rs 50 on each game that he won, and losing Rs 20 for each game that he lost. If on the whole he gained Rs 800, find the number of games that he won.
A man sells an article and makes a profit of 6%. Had he bought the article at a price 4% less and sold at a price higher by Rs 7.60, he would have made a profit of 12%. Find his cost price.
