Question

1/2 (x+4)-1/3 (x+3)=5/6 (x+2) solve the equation

Answer 1

The answer is -1. Hope it helps.

Answer 2

Hey Mate,

Given Equation :-

=> 1/2 ( x + 4 ) - 1/3 ( x + 3 ) =  5/6 ( x + 2 )

On breaking the brackets, we get :-

=> x/2 + 2 - x/3 - 1 = 5x/6 + 10/6

On taking the LCM of 1, 2 and 3 as 6, we get :-

=> $\frac{3x\:+\:12\:-\:2x\:-\:6}{6} = \frac{5x\:+\:10}{6}$

On cancelling 6 in denominators from both LHS and RHS, we get :-

=> $3x\:+\:12\:-\:2x\:-\:6 = 5x\:+\:10$

On getting all the variables on one side and constants on one side, we get:-

=> $12\:-\:10\:-\:6 = 5x\:+\:2x\:-\:3x$

=> $-4 = 4x$

=> $x = \frac{-4}{4}$

=> x = -1

Therefore, x = -1 is the solution for the equation :-

1/2 ( x + 4 ) - 1/3 ( x + 3 ) =  5/6 ( x + 2 )

Hope it Helps!