Question

1/2(6-3.1/2х)=-1.1/4х-1.1/2

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equation $\frac{1}{2}(6 - \frac{3}{2}x) = -\frac{1}{4}x - \frac{1}{2}$, follow these steps:

1. Distribute the $\frac{1}{2}$ on the left side of the equation to eliminate the parentheses:

   $3 - \frac{3}{4}x = -\frac{1}{4}x - \frac{1}{2}$

2. Move all terms containing $x$ to one side of the equation and constants to the other side. You can do this by adding $\frac{1}{4}x$ to both sides and adding $\frac{1}{2}$ to both sides:

   $3 + \frac{1}{2} = \frac{1}{4}x - \frac{3}{4}x - \frac{1}{2}$

3. Combine like terms on each side:

   $\frac{7}{2} = -\frac{1}{4}x - \frac{3}{4}x - \frac{1}{2}$

4. Combine the $x$ terms on the right side of the equation:

   $\frac{7}{2} = -\frac{4}{4}x - \frac{3}{4}x - \frac{1}{2}$

   Simplify the fractions:

   $\frac{7}{2} = -x - \frac{3}{4}x - \frac{1}{2}$

5. Combine the $x$ terms:

   $\frac{7}{2} = -\frac{7}{4}x - \frac{1}{2}$

6. Isolate the $x$ term by moving constants to the other side. Subtract $\frac{1}{2}$ from both sides:

   $\frac{7}{2} + \frac{1}{2} = -\frac{7}{4}x$

   Simplify the left side:

   $\frac{8}{2} = -\frac{7}{4}x$

   $4 = -\frac{7}{4}x$

7. Finally, solve for $x$ by dividing both sides by $-\frac{7}{4}$ (which is the same as multiplying by $-\frac{4}{7}$):

   $x = \frac{4}{7} \cdot 4$

   $x = \frac{16}{7}$

So, the solution to the equation is $x = \frac{16}{7}$.