Question

2/3 * x - 4 = - 1/6 * x + 1​

Answer 1

Ответ:

x = 6

Пошаговое объяснение:

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

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

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

5/6x - 4 = 1

5/6x = 4+1

5/6x = 5

x = 5 : 5/6

x = 6

Answer 2

Ответ:

6

Пошаговое объяснение:

4x - 24 = -x + 6

4x + x = 6 + 24

5x = 30

x = 6

Answer 3

To solve the equation $\frac{2}{3}x - 4 = -\frac{1}{6}x + 1$, you'll want to isolate $x$ on one side of the equation. Here's the step-by-step solution:

1. First, let's add $\frac{1}{6}x$ to both sides of the equation to get the $x$ terms on one side:

   $\frac{2}{3}x - \frac{1}{6}x - 4 = 1$

2. Now, we need to combine the $x$ terms on the left side by finding a common denominator. The common denominator for $\frac{2}{3}x$ and $-\frac{1}{6}x$ is 6. So, we can rewrite the equation as:

   $\frac{4x}{6} - \frac{x}{6} - 4 = 1$

3. Combine the fractions on the left side:

   $\frac{4x - x}{6} - 4 = 1$

4. Simplify the left side further:

   $\frac{3x}{6} - 4 = 1$

5. Now, let's simplify the fraction on the left side by dividing both the numerator and denominator by 3:

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

6. Add 4 to both sides to isolate $x$ on the left side:

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

7. Combine the constants on the right side:

   $\frac{x}{2} = 5$

8. Finally, to solve for $x$, multiply both sides by 2 to get:

   $x = 2 \times 5$

9. The solution is:

   $x = 10$