Question

2/3(1/3х-1/2)=6х-2(х-1¼)

Answer 1

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

Пошаговое объяснение:

Для начала раскроем скобки и переведём правильную дробь в неправильную:

$\frac{2}{9} x - \frac{1}{3} = 6x -2x + \frac{5}{2}$

Далее умножаем обе части уравнения на 18 (чтобы превратить дроби в целые числа):

$4x - 6 = 72x + 45$

Переносим "иксы к иксам, а числа к числам":

$4x - 72x = 45 + 6$

Думаю, очевидно что нужно сделать позже:

$- 68x = 51$

Находим Х:

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

или же

$x = - 0.75$

Answer 2

To solve for the value of "x" in the equation:

2/3(1/3x - 1/2) = 6x - 2(x - 1¼)

You can follow these steps:

1. First, distribute the fractions and constants on both sides of the equation:

(2/3)(1/3x) - (2/3)(1/2) = 6x - (2)(x) + (2)(1¼)

2. Simplify the equation by performing the multiplications:

(2/9)x - 1/3 = 6x - 2x + 2¼

3. Combine like terms on both sides of the equation:

(2/9)x - 1/3 = 4x + 2¼

4. To eliminate the fractions, you can multiply the entire equation by the least common multiple (LCM) of 9 and 3, which is 9:

9 * [(2/9)x - 1/3] = 9 * (4x + 2¼)

This simplifies to:

2x - 3 = 36x + 18

5. Now, isolate the "x" terms on one side of the equation by moving them to the other side:

2x - 36x = 18 + 3

-34x = 21

6. Finally, divide both sides by -34 to solve for "x":

x = 21 / (-34)

x ≈ -0.6176

So, the solution for "x" is approximately -0.6176.