Solve the following equation and check the result. 0 . 6 x + 4 5 = 0 . 28 x + 1 . 16

Given equation is 0 . 6 x + 4 5 = 0 . 28 x + 1 . 16 0 . 6 x + 0 . 8 = 0 . 28 x + 1 . 16 0 . 6 x - 0 . 28 x = 1 . 16 - 0 . 8 0 . 32 x = 0 . 36 x = 0 . 36 0 . 32 x = 36 32 x = 9 8 Hence, the value of x is 9 8 . Checking: Substitute the value of x in L.H.S 0 . 6 × 9 8 + 4 5 = 0 . 675 + 0 . 8 = 1 . 475 Substitute the value of x in R.H.S 0 . 28 × 9 8 + 1 . 16 = 0 . 315 + 1 . 16 = 1 . 475 L.H.S=R.H.S Hence, the result is verified.

Solve the following equation and check the result. 2 x + 14 3 x + 6 = 4

Given equation is 2 x + 14 3 x + 6 = 4 2 x + 14 = 4 ( 3 x + 6 ) 2 x + 14 = 4 × 3 x + 4 × 6 2 x + 14 = 12 x + 24 12 x - 2 x = 14 - 24 10 x = - 10 x = - 10 10 x = - 1 Hence, the value of x is - 1 . Checking: Substitute the value of x in L.H.S 2 ( - 1 ) + 14 3 ( - 1 ) + 6 = - 2 + 14 - 3 + 6 = 12 3 = 4 L.H.S=R.H.S Hence, the result is verified.

Solve the following equation and check the result. x + 2 6 - ( 11 - x 3 - 1 4 ) = 3 x - 4 12

Given equation is x + 2 6 - ( 11 - x 3 - 1 4 ) = 3 x - 4 12 x + 2 6 - 11 - x 3 + 1 4 = 3 x - 4 12 2 ( x + 2 ) - 4 ( 11 - x ) + 3 12 = 3 x - 4 12 2 x + 4 - 44 + 4 x + 3 12 = 3 x - 4 12 6 x - 37 12 = 3 x - 4 12 6 x - 37 = 3 x - 4 6 x - 3 x = - 4 + 37 3 x = 33 x = 33 3 x = 11 Hence, the value of x is 11 . Checking: Substitute the value of x in L.H.S 11 + 2 6 - ( 11 - 11 3 - 1 4 ) = 13 6 + 1 4 = 26 + 3 12 = 29 12 Substitute the value of x in R.H.S 3 × 11 - 4 12 = 33 - 4 12 = 29 12 L.H.S=R.H.S Hence, the result is verified.