Question

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

Answer 1

Все решение на фото ..............

Answer 2

(x-2)/3-(x+5)/4 = 1
x/3-2/3-x/4-5/4 = 1
-23/12 + x/12 = 1
x/12 = 35/12
Разделим обе части ур-ния на 1/12
x = 35/12 / (1/12)
x = 35

Answer 3

To solve the equation $\frac{x - 2}{3} - \frac{x + 5}{4} = 1$, you can follow these steps:

Step 1: Clear the fractions by finding a common denominator, which in this case is 12. Multiply every term in the equation by 12 to eliminate the fractions:

$12 \cdot \left(\frac{x - 2}{3}\right) - 12 \cdot \left(\frac{x + 5}{4}\right) = 12 \cdot 1$

Now, simplify each term:

$\frac{12}{3}(x - 2) - \frac{12}{4}(x + 5) = 12$

Step 2: Continue simplifying:

$4(x - 2) - 3(x + 5) = 12$

Step 3: Distribute the constants within the parentheses:

$4x - 8 - 3x - 15 = 12$

Step 4: Combine like terms on both sides of the equation:

$4x - 3x - 8 - 15 = 12$

$x - 23 = 12$

Step 5: Isolate the variable $x$ by adding 23 to both sides of the equation:

$x = 12 + 23$

Step 6: Simplify the right side:

$x = 35$

So, the solution to the equation is $x = 35$.