Question

3/4×(1/6x-4/3)=2x-11

Answer 1

Ответ:

x=16/3=5 1/3

Пошаговое объяснение:

3/4*(1/6x-4/3)=2x-11

1/8x-1=2x-11

x-8=16x-88

-15x=-80

x=16/3

Answer 2

Ответ:

x = 5 $\frac{1}{3}$

Пошаговое объяснение:

$\frac{3}{4} * (\frac{x}{6} - \frac{4}{3}) =$ 2х - 11

$\frac{3x}{24} - \frac{12}{12} =$ 2х - 11

$\frac{x}{8}$ - 2х = 1 - 11

$\frac{x}{8} - \frac{16x}{8} = - 10$

$\frac{-15x}{8} = -10$

-15x = -80

x = 5 $\frac{1}{3}$

Answer 3

To solve the equation $\frac{3}{4} \cdot \left(\frac{1}{6}x - \frac{4}{3}\right) = 2x - 11$, you can follow these steps:

1. Distribute the $\frac{3}{4}$ on the left side of the equation:

$\frac{3}{4} \cdot \frac{1}{6}x - \frac{3}{4} \cdot \frac{4}{3} = 2x - 11$

2. Simplify the fractions:

$\frac{1}{8}x - \frac{1}{1} = 2x - 11$

3. Now, get rid of the fractions by multiplying every term by the least common multiple (LCM) of the denominators, which is 8:

$8 \cdot \left(\frac{1}{8}x\right) - 8 \cdot 1 = 8 \cdot (2x) - 8 \cdot 11$

This simplifies to:

$x - 8 = 16x - 88$

4. Next, isolate the variable $x$. Start by moving all the terms with $x$ to one side of the equation and the constants to the other side. Subtract $16x$ from both sides and add 8 to both sides:

$x - 16x = -88 + 8$

This simplifies to:

$-15x = -80$

5. Finally, divide both sides by -15 to solve for $x$:

$x = \frac{-80}{-15}$

Now, simplify the fraction:

$x = \frac{16}{3}$

So, the solution to the equation is $x = \frac{16}{3}$.