Question

5x-1/12 - 2x+1/3 =5-x/6

Answer 1

ответ: 2×4/17

5x-2x+x/6= 5+1/12-1/3

3x+x/6=5+1/12-1/3

17x/6=57/12

17x=57/2

x=57/34

x= 1 23/34

Answer 2

To solve the equation $5x - \frac{1}{12} - 2x + \frac{1}{3} = \frac{5 - x}{6}$, you'll want to simplify and isolate the variable $x$. Here are the steps to solve it:

Step 1: Combine like terms on both sides of the equation.

$5x - 2x - \frac{1}{12} + \frac{1}{3} = \frac{5 - x}{6}$

Step 2: Simplify the fractions on the left side of the equation.

$3x - \frac{1}{12} + \frac{4}{12} = \frac{5 - x}{6}$

$3x + \frac{3}{12} = \frac{5 - x}{6}$

Step 3: Continue to simplify the fractions on the left side.

$3x + \frac{1}{4} = \frac{5 - x}{6}$

Step 4: Get rid of fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 12 in this case.

$12(3x + \frac{1}{4}) = 12(\frac{5 - x}{6})$

$12 \cdot 3x + 12 \cdot \frac{1}{4} = 12 \cdot \frac{5 - x}{6}$

$36x + 3 = 2(5 - x)$

Step 5: Distribute the 2 on the right side.

$36x + 3 = 10 - 2x$

Step 6: Move the terms containing $x$ to one side of the equation and the constants to the other side.

$36x + 2x = 10 - 3$

$38x = 7$

Step 7: Finally, isolate $x$ by dividing both sides by 38.

$x = \frac{7}{38}$

So, the solution to the equation is $x = \frac{7}{38}$.