Question

13/5 - (7/6 + x ) = 11/5​

Answer 1

13/5-(7/6+х)=11/5

13/5-7/6-х=11/5

43/30-х=11/5

-х=11/5-43/30

ответ : -х=23/30

( если это в дробях...)

Answer 2

To solve the equation for the variable x, follow these steps:

Step 1: Simplify the equation

First, let's simplify the equation by performing the operations inside the parentheses:

13/5 - (7/6 + x) = 11/5

Step 2: Find a common denominator

The common denominator for 5 and 6 is 30. So, we'll rewrite the equation with this common denominator:

(13/5)*6 - [(7/6)5 + x5] = (11/5)*6

Step 3: Perform the calculations

Now, let's perform the calculations:

(13/5)*6 = 78/5 (7/6)*5 = 35/6 (11/5)*6 = 66/5

The equation becomes:

78/5 - (35/6 + 5x) = 66/5

Step 4: Isolate x

To isolate x, let's get rid of the fraction in front of x first:

78/5 - 35/6 - 5x = 66/5

Next, combine the fractions on the left side:

(78/5) - (35/6) = (786 - 355) / (5*6) = (468 - 175) / 30 = 293 / 30

The equation now looks like this:

(293/30) - 5x = 66/5

Step 5: Isolate x on one side

To isolate x, move (293/30) to the other side by subtracting it from both sides:

(293/30) - (293/30) - 5x = 66/5 - 293/30

This simplifies to:

-5x = (66*6 - 293) / 30 -5x = (396 - 293) / 30 -5x = 103 / 30

Step 6: Solve for x

Finally, divide both sides by -5 to solve for x:

x = (103 / 30) / -5 x = 103 / 30 * (-1/5) x = -103 / (30*5) x = -103 / 150

So, the solution for x is:

x = -103 / 150 or approximately x ≈ -0.6867