Question

Решите: x-8/x+2 = 7/3

Answer 1

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Answer 2

To solve the equation, we'll first get rid of the fractions by cross-multiplying. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction and vice versa. Here's the equation:

(x - 8) / (x + 2) = 7 / 3

Cross-multiplying:

3(x - 8) = 7(x + 2)

Now, distribute the multiplication:

3x - 24 = 7x + 14

Next, let's isolate the variable terms (terms containing x) on one side of the equation and the constant terms on the other side:

Subtract 3x from both sides:

-24 = 4x + 14

Now, subtract 14 from both sides:

-38 = 4x

Finally, divide both sides by 4 to solve for x:

x = -38 / 4

x = -9.5

So, the solution to the equation is x = -9.5.