
X-5/4=7-2x-11/3 пожалуйста помогите


Ответы на вопрос




To solve the equation X - 5/4 = 7 - 2X - 11/3, we can follow these steps:
Step 1: Combine like terms on both sides of the equation. - On the left side, combine X and -2X: X - 2X = -X. - On the right side, combine 7 and -11/3: 7 - 11/3 = (21 - 11)/3 = 10/3.
Step 2: Simplify the equation. - The equation becomes: -X - 5/4 = 10/3.
Step 3: Isolate the variable X. - To isolate X, we need to get rid of the fraction. Multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 12. - Multiply -X by 12: -12X. - Multiply -5/4 by 12: -15. - Multiply 10/3 by 12: 40. - The equation becomes: -12X - 15 = 40.
Step 4: Solve for X. - Add 15 to both sides of the equation: -12X = 40 + 15 = 55. - Divide both sides of the equation by -12: X = 55/-12 = -55/12.
Therefore, the solution to the equation X - 5/4 = 7 - 2X - 11/3 is X = -55/12.
Let me know if there's anything else I can helpTo solve the equation X - 5/4 = 7 - 2X - 11/3, we can start by simplifying both sides of the equation.
Simplifying the equation:
On the left side, we have X - 5/4. On the right side, we have 7 - 2X - 11/3.To simplify the equation, we can combine like terms.
On the left side, there are no like terms to combine.
On the right side, we have 7 - 2X - 11/3. To combine the terms, we need to find a common denominator for the fractions. The common denominator for 4 and 3 is 12.
So, we can rewrite the equation as:
X - 5/4 = 7 - 2X - (11/3) * (4/4)
Simplifying further:
X - 5/4 = 7 - 2X - 44/12
Now, we can combine like terms:
X - 5/4 = 7 - 2X - 11/3
Solving the equation:
To solve the equation, we can isolate the variable X on one side of the equation.Let's start by moving the terms with X to one side and the constant terms to the other side.
Adding 2X to both sides:
X + 2X - 5/4 = 7 - 11/3
Combining like terms:
3X - 5/4 = 7 - 11/3
Next, let's move the constant terms to the other side:
Adding 5/4 to both sides:
3X - 5/4 + 5/4 = 7 - 11/3 + 5/4
Combining like terms:
3X = 7 - 11/3 + 5/4
Now, let's simplify the right side of the equation:
To add fractions, we need a common denominator. The common denominator for 3 and 4 is 12.
3X = (7 * 12)/1 - (11 * 4)/3 + (5 * 3)/4
Simplifying further:
3X = 84/1 - 44/3 + 15/4
To subtract fractions, we need a common denominator. The common denominator for 3 and 4 is 12.
3X = (84 * 12)/12 - (44 * 4)/12 + (15 * 3)/12
Simplifying further:
3X = 1008/12 - 176/12 + 45/12
Combining like terms:
3X = (1008 - 176 + 45)/12
Simplifying further:
3X = 877/12
Finally, to solve for X, we can divide both sides of the equation by 3:
X = (877/12) / 3
Simplifying further:
X = 877/36
Therefore, the solution to the equation X - 5/4 = 7 - 2X - 11/3 is X = 877/36.
Please note that the solution has been calculated based on the given equation. If there are any errors or if you need further assistance, please let me know.


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