Question

solve the following equation
2x+3/2=5-2(x-4) /3​

Answer 1

Answer:

37/10

Step-by-step explanation:

Given,

2

2x+3

=5−

3

2(x−4)

Multiplying all the terms by the LCM of 2,3, i.e., 6, we get

6×

2

(2x+3)

=6×5−

3

6×2(x−4)

⇒3(2x+3)=30−4(x−4)

⇒6x+9=30−4x+16

⇒6x+9=−4x+46

⇒6x+4x=46−9

⇒10x=37

⇒x=

10

37

Hence, required solution is x=

10

37

.

Answer 2

Answer: 37/10

Step-by-step explanation:

Given,  

2

2x+3

​

=5−

3

2(x−4)

​

Multiplying all the terms by the LCM of 2,3, i.e., 6, we get

6×

2

(2x+3)

​

=6×5−

3

6×2(x−4)

​

⇒3(2x+3)=30−4(x−4)

⇒6x+9=30−4x+16

⇒6x+9=−4x+46

⇒6x+4x=46−9

⇒10x=37

⇒x= 37/10

​