Question

(х + 3)/2 + х/4 = (х + 2)/8

Answer 1

Ответ:

4x+12+2x= x+2

4x+2x-x=2-12

5x=-10

x=-2

Answer 2

Let's solve the given equation:

$\frac{x + 3}{2} + \frac{x}{4} = \frac{x + 2}{8}$

First, let's find a common denominator for the fractions on the left side. The common denominator is 8, so we'll multiply the first term by 4/4 and the second term by 2/2 to get the common denominator:

$\frac{4(x + 3)}{8} + \frac{2x}{8} = \frac{x + 2}{8}$

Now, combine the fractions:

$\frac{4x + 12}{8} + \frac{2x}{8} = \frac{x + 2}{8}$

Combine the numerators:

$\frac{4x + 12 + 2x}{8} = \frac{x + 2}{8}$

Combine like terms:

$\frac{6x + 12}{8} = \frac{x + 2}{8}$

Now, set the numerators equal to each other:

$6x + 12 = x + 2$

Subtract x from both sides:

$5x + 12 = 2$

Subtract 12 from both sides:

$5x = -10$

Divide by 5:

$x = -2$

So, the solution to the equation is $x = -2$.