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]

The correct value for x = - 36 1/3

Step-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 = 218

x = - 36.333

x = - 36 1/3

2. Let's prove that x = - 36 1/3 is correct, using it as - 109/3

43/10 - (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 + 6/10

43 + 872 - 255 = 654 + 6 (10 as Lowest Common Denominator)

660 = 660

We proved that x = - 36 1/3 is correct

-7/3 or - 2 1/3

Step-by-step explanation: 1. Let's resolve the equation:

4 3/10-[2 2/5x + 5 1/2] = 1/2[-3 3/5x+1 1/5]

For simplifying, let's convert all the expressions to fractions:

43/10 - (12x/5 + 51/10] = 1/2 ( - 18x/5 + 6/5)

43/10 - 12x/5 - 51/10 = - 18x/10 + 6/10

-12x/5 - 8/10 = - 18x/10 + 6/10

- 12x/5 + 18x/10 = 8/10 + 6/10 (Like terms)

-24x + 18x = 8 + 6 (10 as Lowest Common Denominator)

-6x = 14

x = - 2 2/6 simplify, - 2 1/3 or - 7/3

x =