What is the value of x in the equation 4 3/10-[2 2/5x+ 51/2]=1/2[-3 3/5x+1 1/5]

Answer:The correct value for x = - 36 1/3Step-by-step explanation:1. Let's resolve the equation:4 3/10-[2 2/5x+ 51/2] = 1/2[-3 3/5x+1 1/5]For simplifying, let's convert all the expressions to fractions:43/10 - (12x/5+ 51/2] = 1/2(- 18x/5 + 6/5)43/10 - 12x/5 - 51/2 = - 18x/10 + 6/10- 12x/5 + 18x/10 = 6/10 -43/10 + 51/2 (Like terms)-24x + 18x = 6 - 43 + 255 (10 as Lowest Common Denominator)-6x = 218x = - 36.333x = - 36 1/32. Let's prove that x = - 36 1/3 is correct, using it as -109/343/10 - (12x/5+ 51/2] = 1/2(- 18x/5 + 6/5)43/10 - (12/5) * (-109/3) - 51/2 = 1/2 (-18/5 * - 109/3 + 6/5)43/10 + 436/5 - 51/2 = 1/2 (654/5 + 6/5)43/10 + 436/5 - 51/2 = 654/10 + 6/1043 + 872 - 255 = 654 + 6 (10 as Lowest Common Denominator)660 = 660We proved that x = - 36 1/3 is correct