Question

1 1/3*(5-2x)=-1/2*(20-3x)

Answer 1

55/3 - 22/3х = - 10 + 3/2х
55/3 + 10 = 3/2х + 22/3х
85/3 = 50/6х
х = 3 2/5

Answer 2

To solve the equation 1 1/3*(5-2x)=-1/2*(20-3x), we'll follow these steps:

1. Distribute the fractions: (4/3)(5-2x) = (-1/2)(20-3x)

2. Remove the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators. In this case, the LCM is 6: 6*(4/3)(5-2x) = 6(-1/2)*(20-3x)

   Simplifying: 8*(5-2x) = -3*(20-3x)

3. Expand the parentheses: 40 - 16x = -60 + 9x

4. Rearrange the equation by moving all the x terms to one side and the constant terms to the other side: 40 + 60 = 9x + 16x

   Simplifying: 100 = 25x

5. Solve for x by dividing both sides of the equation by 25: x = 100/25

   Simplifying: x = 4

So the solution to the equation is x = 4.