Advertisements
Advertisements
Question
Solve: 21 – 3 (x – 7) = x + 20
Solution
21 – 3 (x – 7) = x + 20
⇒ 21 - 3x + 21 = x + 20
⇒ 42 - 3x = x + 20
⇒ 42 - 20 = x + 3x
⇒ 4x = 22
⇒ x = `22/4 = 11/2 = 5 1/2`
∴ x = `5 1/2`
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
`"c" - 1/2 = 1/3`
Solve the following equation:
`"y" + 5 = 8 1/4`
6 = 7 + 2p -5
8 – 7x = 13x + 8
7 (x - 2) = 2 (2x - 4)
Solve: `"4x"/3 - "7x"/3 = 1`
The length of a rectangular plot exceeds its breadth by 5 m. If the perimeter of the plot is 142 m, find the length and the breadth of the plot.
Solve the following equations for the unknown: 8x - 21 = 3x - 11
Solve the following equation for the unknown: `x/(2) + x/(4) + x/(8)` = 7
Solve the following equation for the unknown: `("a" - 1)/(2) - ("a" + 1)/(3)` = 5 - a
Solve the following equations for the unknown: `(x + 13)/(x^2 - 1) + (5)/(x + 1) = (7)/(x + 1)`
Solve the following equations for the unknown: `2 + (3x - 2)/(3x + 2) = (3x + 2)/(x + 1)`
Two angles are supplementary and their measures are (7x+6)° and (2x-15)°. Find the measures of the angles.
The present age of a man is double the age of his son. After 8 years, the ratio of their ages will be 7 : 4. Find the present ages of the man and his son.
If a boy walks to his school at a speed of 4km/h, he reaches the school 10 minutes before time. If he walks at 3km/h, he reaches the school 10 minutes late. Find the distance between his house and school.
The speed of a boat in still water is 8km/h. It takes the same time in going 20km in downstream as it takes in going 12 km upstream. Find the speed of the stream.
A man leaves half his property to his wife, one-third to his son, and the remaining to his daughter. If the daughter's share is Rs. 15000, how much money did the man leave? How much money did his wife get?
The present age of a man is double the age of his son. After 8 years, the ratio of their ages will be 7:4. Find the present ages of the man and his son.
The breadth of a rectangular room is 2 m less than its length. If the perimeter of the room is 14m, find it's dimensions.
What number decreased by 18% of itself gives 1599?