Question

0,5(x+1)-2x/-3(x+1)+4=-2

Answer 1

0.5(x+1)-2x/-3(x+1)+4=-2
0.5x+0.5-2x/-3x-3+4=-2
-1.5x+0.5/13x+1=-2
(-1.5x+0.5)*(-3x+1)=-2 (при деление скобки переворачиваются)
4.5x-1.5x-1.5+0.5=-2
3x-1=-2
3x=2-1
3x=1
x=1/3
вроде так

Answer 2

To solve this equation, we need to simplify both sides and isolate the variable "x" on one side.

Starting with the left-hand side:

0.5(x+1) - (2x / (-3(x+1) + 4) = -2

First, we can simplify the denominator of the second term by combining -3(x+1) and 4:

0.5(x+1) - (2x / (-3x - 3 + 4)) = -2

0.5(x+1) - (2x / (-3x + 1)) = -2

Next, we can simplify the fraction by multiplying both the numerator and denominator by -1:

0.5(x+1) + (2x / (3x - 1)) = -2

Now we can combine the two terms on the left-hand side by finding a common denominator:

[(3x - 1) * 0.5(x+1) + 2x] / (3x - 1) = -2

(1.5x - 0.5 + 2x) / (3x - 1) = -2

(3.5x - 0.5) / (3x - 1) = -2

Multiplying both sides by (3x - 1), we get:

3.5x - 0.5 = -2(3x - 1)

3.5x - 0.5 = -6x + 2

9.5x = 2.5

x = 2.5 / 9.5

Therefore, the solution is:

x = 0.2631578947368421 (rounded to 16 decimal places)