Question

2-3(дробь)х-2=7(дробь)х+2

Answer 1

2 -(3/(x-2)) =7/(x+2)
(2(x-2) -3) /(x -2) =7/(x+2)
(2x-4-3)*(x+2) =7*(x-2)
(2x-7)(x+2) =7x -14
2x² -3x -14 -7x +14 =0
2x² -10x =0
2x(x -5) =0
2x =0, x =0
x -5 =0, x =5
ответ: x =0, x =5

Answer 2

To solve the equation, let's begin by clearing the fractions. We can do this by multiplying every term in the equation by the least common multiple (LCM) of the denominators. In this case, the LCM of the denominators (3 and 7) is 21.

Multiplying each term by 21, we get:

2 * 21 - 3 * (21/3) * x - 2 * 21 = 7 * (21/7) * x + 2 * 21

Simplifying this expression:

42 - 21x - 42 = 21x + 42

Next, we can combine like terms:

42 - 42 - 21x = 21x + 42

0 - 21x = 21x + 42

Now, let's isolate the variable terms on one side of the equation. We can achieve this by adding 21x to both sides:

0 - 21x + 21x = 21x + 42 + 21x

0 = 42 + 42x

To solve for x, let's subtract 42 from both sides:

0 - 42 = 42 + 42x - 42

-42 = 42x

Finally, we can solve for x by dividing both sides by 42:

(-42)/42 = (42x)/42

-1 = x

Therefore, the solution to the equation is x = -1.