Question

X-2/4+x+3/8=8-x/6 пжжжжжж​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equation $\frac{X-2}{4}+\frac{x+3}{8}=8-\frac{x}{6}$, you can follow these steps:

Step 1: Clear the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 24.

Multiply both sides of the equation by 24: $24\left(\frac{X-2}{4}\right) + 24\left(\frac{x+3}{8}\right) = 24\left(8-\frac{x}{6}\right)$

This simplifies to: $6(X-2) + 3(x+3) = 4(48-x)$

Step 2: Distribute and simplify on both sides of the equation:

$6X - 12 + 3x + 9 = 192 - 4x$

Step 3: Combine like terms:

$6X + 3x - 12 + 9 = 192 - 4x$

$9x - 3 = 192 - 4x$

Step 4: Move the terms involving x to one side of the equation and the constants to the other side:

$9x + 4x = 192 + 3$

$13x = 195$

Step 5: Solve for x by dividing both sides by 13:

$x = \frac{195}{13}$

Simplifying the fraction, we get:

$x = 15$

So, the solution to the equation is $x = 15$.