(x-2) /3 - [3/4 -(x-3) /3 ] = (x-5) /6 - x - Maths - Linear Equations in One Variable

Question

(x-2) /3 - [3/4 -(x-3) /3 ] = (x-5) /6 - x

Manbar Singh · Accepted Answer

x-23 - 34 - x-33 = x-56 - x⇒x-23 - 9 - 4x + 1212 = x-5-6x6⇒x-23 -21 - 4x12 = -5x - 56⇒21 - 4x12 - x-23 = 5x + 56⇒21 - 4x - 4x + 812 = 5x + 56⇒29 - 8x2 = 5x + 51⇒25x + 5 = 29 - 8x⇒10x + 10 = 29 - 8x⇒10x + 8x = 29 - 10⇒18x = 19⇒x = 1918