Question

3)5/24-(х-1/6)=-7/24

Answer 1

Ответ на фото, если что - минус на минус дает плюс)))

Answer 2

To solve the equation for x, follow these steps:

Step 1: Simplify the expression on the left-hand side of the equation.

Step 2: Isolate the term with x on one side of the equation.

Step 3: Solve for x.

Let's go through each step in detail:

Step 1: Simplify the expression on the left-hand side:

5/24 - (x - 1/6) = -7/24

To simplify, first distribute the negative sign to the terms inside the parentheses:

5/24 - x + 1/6 = -7/24

Step 2: Isolate the term with x on one side of the equation:

To isolate the x term, move all other terms to the right side of the equation by performing inverse operations.

First, move the constant term (1/6) to the right side by subtracting 1/6 from both sides:

5/24 - x = -7/24 - 1/6

Now, find a common denominator for the right side:

Common denominator for 24 and 6 is 24. So, convert -7/24 and -1/6 to have a denominator of 24:

-7/24 = -14/48 -1/6 = -8/48

Substitute the new values into the equation:

5/24 - x = -14/48 - 8/48

Step 3: Solve for x:

Combine the fractions on the right side:

5/24 - x = -22/48

Now, let's find a common denominator for the left side and right side:

Common denominator for 24 and 48 is 48. So, convert 5/24 to have a denominator of 48:

5/24 = 10/48

Substitute the new value into the equation:

10/48 - x = -22/48

Now, we can isolate the x term:

Subtract 10/48 from both sides:

• x = -22/48 - 10/48

Combine the fractions on the right side:

• x = -32/48

Now, simplify the fraction on the right side:

• x = -2/3

Finally, to find the value of x, multiply both sides by -1:

x = 2/3

So, the solution to the equation is x = 2/3.