Question

4x-5,5*(x+2,5)=3x+9,5

Answer 1

4x - 5,5 * (x + 2,5) = 3x + 9,5

4x - 5,5x - 13,75 = 3x + 9,5

-1,5x - 13,75 = 3x + 9,5

-1,5x - 3x = 9,5 + 13,75

-4,5x = 23,25

$x = \frac{ - 31}{6}$

Answer 2

To solve the equation 4x - 5.5 * (x + 2.5) = 3x + 9.5, we can follow these steps:

1. Distribute the multiplication on the left side: 4x - 5.5x - 13.75 = 3x + 9.5

2. Combine like terms on both sides: (4x - 5.5x) - 13.75 = (3x + 9.5)

   Simplifying further: -1.5x - 13.75 = 3x + 9.5

3. Move the variables to one side and the constants to the other side: -1.5x - 3x = 9.5 + 13.75

   Simplifying further: -4.5x = 23.25

4. Divide both sides of the equation by -4.5 to solve for x: x = 23.25 / -4.5

   x ≈ -5.17 (rounded to two decimal places)

Therefore, the solution to the equation 4x - 5.5 * (x + 2.5) = 3x + 9.5 is approximately x = -5.17.