Question

3/4( 1/6x - 1/12 ) = 2x - 1 1/2

Answer 1

Решение:

3/4(1/6х-1/12)=2х-1 1/2

3/4×1/6х-3/4×1/12=2х-1 1/2

1/8х-1/16=2х-1 1/2

1/8х-2х=1 1/2+1/16

-1 7/8х=1 9/16

-1,875х=1,5625

1,875х=-1,5625

10х=-8 1/3

Х=3/25

Answer 2

Ответ:

29/10===2,9

Пошаговое объяснение:

1/8х-1/16=2х-11/2

2х-1=32х-88

2х-32х=-88+1

-30х=-87

х=29/10

Answer 3

To solve the equation $\frac{3}{4}\left(\frac{1}{6}x - \frac{1}{12}\right) = 2x - \frac{3}{2}$, you can follow these steps:

1. First, simplify the left side of the equation by multiplying the fractions and distributing the $\frac{3}{4}$ on the left side:

   $\frac{3}{4} \cdot \frac{1}{6}x - \frac{3}{4} \cdot \frac{1}{12} = 2x - \frac{3}{2}$

   Simplify the fractions:

   $\frac{1}{8}x - \frac{1}{16} = 2x - \frac{3}{2}$

2. To eliminate the fractions, you can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 16. This will get rid of the fractions:

   $16\left(\frac{1}{8}x - \frac{1}{16}\right) = 16(2x - \frac{3}{2})$

   This simplifies to:

   $2x - 1 = 32x - 24$

3. Next, isolate the variable $x$ on one side of the equation. To do this, you can start by moving $2x$ to the left side by subtracting $2x$ from both sides of the equation:

   $2x - 2x - 1 = 32x - 2x - 24$

   This simplifies to:

   $-1 = 30x - 24$

4. Now, add 24 to both sides of the equation to isolate $30x$:

   $-1 + 24 = 30x$

   $23 = 30x$

5. Finally, divide both sides by 30 to solve for $x$:

   $\frac{23}{30} = x$

So, the solution to the equation $\frac{3}{4}\left(\frac{1}{6}x - \frac{1}{12}\right) = 2x - \frac{3}{2}$ is $x = \frac{23}{30}$.