Home
Class 14
MATHS
If 22x - 40 = 207 + 3x, then x =? A. 14...

If `22x - 40 = 207 + 3x`, then x =?
A. 14
B. 13
C. 12
D. 11

A

B

B

C

C

D

D

A

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 22x - 40 = 207 + 3x \), we will follow these steps: ### Step 1: Rearrange the equation We want to get all terms involving \( x \) on one side and constant terms on the other side. We can do this by subtracting \( 3x \) from both sides and adding \( 40 \) to both sides. \[ 22x - 3x = 207 + 40 \] ### Step 2: Simplify both sides Now, simplify both sides of the equation. \[ 19x = 247 \] ### Step 3: Solve for \( x \) To find \( x \), divide both sides by \( 19 \). \[ x = \frac{247}{19} \] ### Step 4: Calculate the value Now, perform the division: \[ x = 13 \] Thus, the solution to the equation is: \[ \boxed{13} \]
Promotional Banner

Similar Questions

Explore conceptually related problems

If 2x+3 = 9 then find the value of 3x+2 A. 12 B. 16 C. 13 D. 11

Simplify : 7x + 3x(x-4) = ? A. 10x + 12 B. 10x - 12 C. 3x^(2) + 5x D. 3x^(2) - 5x

Find the median of 10, 12, 11, 13, 20, 22, 10, 8, 19. A) 11 B) 13 C) 11.5 D) 12

(x + y - 8) /( 2 ) = ( x + 2y - 14 ) /( 3) = ( 3x + y - 12)/( 11)

If the arithmetic mean of 7,\ 8,\ x ,\ 11 ,\ 14 is x , then x= (a) 9 (b) 9.5 (c) 10 (d) 10.5

If 5^(x+3)=25^(3x-4), then the value of x is a.(5)/(11) b.(11)/(5) c.(11)/(3) d.(13)/(5)

If 3x^(2) +ax +12 is perfectly divisible by x -3 then the value of a is A) -13 B) -12 C) -3 D) -9

Find the nature of the roots of the equations of given below : (a) x^(2) - 13x + 11 =0 (b ) 18x^(2) - 14x + 17 = 0 (c ) 9x^(2) - 36x + 36 = 0 (d) 3x^(2) - 5x - 8 = 0

If [(2+x,3,4),(1,-1,2),(x,1,-5)] is a singular matrix then x is (A) 13/25 (B) -25/13 (C) 5/13 (D) 25/13

A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If "Delta"D B C :"Delta"A B C=1:2, then x is equal to a. 11/8 b. 8/11 c. 3 d. none of these