Question

3/4*x-2/3*x+1=1/2*x+1/6

Answer 1

Ответ:

x=2

Пошаговое объяснение:

3/4x-2/3x+1=1/2x+1/6

9x-8x+12=6x+2

x+12=6x=2

x-6x=2-12

-5x=-10

x=2

Answer 2

To solve the equation, we need to find the value of 'x' that makes the equation true. Here's how you can do it step by step:

1. Combine the 'x' terms on the left side of the equation: (3/4)x - (2/3)x + 1 = (1/2)x + (1/6)

2. Find a common denominator for the fractions. In this case, the common denominator is 12. (9/12)x - (8/12)x + 12/12 = (6/12)x + (2/12)

3. Simplify the equation: (1/12)x + 12/12 = (6/12)x + (2/12)

4. Combine the 'x' terms on the right side of the equation: (1/12)x + 12/12 = (8/12)x

5. Now, we want to isolate the 'x' term on one side of the equation. To do this, we can move the (1/12)x term to the right side by subtracting (1/12)x from both sides of the equation: (1/12)x - (1/12)x + 12/12 = (8/12)x - (1/12)x

6. Simplify the equation: 12/12 = (7/12)x

7. Now, isolate 'x' by dividing both sides by (7/12): x = (12/12) / (7/12)

8. Simplify the equation: x = 12/12 * 12/7

9. Further simplify the equation: x = 1.71428571429

So, the solution to the equation is approximately x = 1.714.