Question

Solve 3 (x+3)-2 (x-1) = 5 (x-5) *

(1) 8
(2) 9
(3) 10
(4) 11

​

Answer 1

Question:-

Solve for x : 3 (x+3)-2 (x-1) = 5 (x-5) 

(1) 8

(2) 9

(3) 10

(4) 11

Answer:-

• The value of x is 9.

Solution:-

$\large{ \tt : \implies \: \: \: \: \: 3(x + 3) - 2(x - 1) = 5(x - 5)}$

$\large{ \tt : \implies \: \: \: \: \: 3x + 9 - 2x + 2 = 5x - 25}$

$\large{ \tt : \implies \: \: \: \: \: 3x - 2x + 9 + 2 = 5x - 25}$

$\large{ \tt : \implies \: \: \: \: \: x + 11 = 5x - 25}$

$\large{ \tt : \implies \: \: \: \: \: x - 5x = - 25 - 11}$

$\large{ \tt : \implies \: \: \: \: \: - 4x = - 36}$

$\large{ \tt : \implies \: \: \: \: \: x = \frac{ - 36}{ - 4} }$

$\large{ \tt : \implies \: \: \: \: \: x = 9}$

• The value of x is 9.

Verification :-

$\large{ \tt : \implies \: \: \: \: \: 3(9 + 3) - 2(9 - 1) = 5(9 + 5)}$

$\large{ \tt : \implies \: \: \: \: \: 3(12) - 2(8) = 5(4)}$

$\large{ \tt : \implies \: \: \: \: \: 36 - 16 = 20}$

$\large{ \tt : \implies \: \: \: \: \: 20 = 20}$

HENCE VERIFIED!!

HENCE,

The correct option is (2)