Question

(x + 2)/3 + (x + 3)/2 = 5 - (x - 1)/4 Solve and verify the answer.​

Answer 1

Answer:

13x = 37 (LHS ≠ RHS)

Step-by-step explanation:

=> (x + 2)/3 + (x + 3)/2 = 5 - (x - 1)/4

Remove all the brackets

=> x+2/3 + x+3/2 = 5 - x-1/4

Move equation to LHS and change signs

=> x+2/3 + x+3/2 + x-1/4 = 5

Multiply both sides by 12

=> 4(x+2) + 6(x+3) + 3(x-1) = 60

Solving it further, we get

=> 4x + 8 + 6x + 18 + 3x - 3 = 60

Collect the like terms to add them

=> 13x + 8 + 18 - 3 = 60

Calculate the sum

=> 13x + 23 = 60

Move constant value to RHS

=> 13x = 60 - 23

Subtract the numbers

=> 13x = 37

Therefore, LHS = RHS

Hence Verified.