Question

1/6x-0.82=3/8x-1.37

Answer 1

1/6x - 3/8x = -1,37 + 0.82  

1/6x - 3/8x = -0,55  

x(1/6 - 3/8) = -0,55  

x(4/24 - 9/24) = -0,55  

-5/24x = -0,55  

5/24x = 0,55 = 55/100  

x = 55/100 : 5/24 = 264/100 = 2,64  

x = 2,64  

Ответ: х = 2,64

Answer 2

1/6x-3/8x=-1,37+0.82

(4-9)*x/24=-0,55

-5x=-0,55*24

-5x=-13,2

x=13,2/5

x=2,64

Answer 3

To solve the equation 1/6x - 0.82 = 3/8x - 1.37, we'll need to isolate the variable x on one side of the equation. Here's the step-by-step solution:

Step 1: Get rid of the fractions by multiplying every term in the equation by the least common multiple (LCM) of the denominators, which is 24 (6 and 8 share 24 as their LCM).

Multiply the entire equation by 24: 24 * (1/6x) - 24 * 0.82 = 24 * (3/8x) - 24 * 1.37

Step 2: Simplify each term:

4x - 19.68 = 9x - 32.88

Step 3: Now, let's isolate the x term on one side by moving the terms containing x to one side and the constants to the other side.

Subtract 4x from both sides: 4x - 4x - 19.68 = 9x - 4x - 32.88

-19.68 = 5x - 32.88

Step 4: Next, isolate the x term by moving the constant term to the other side. Add 32.88 to both sides:

-19.68 + 32.88 = 5x - 32.88 + 32.88

13.20 = 5x

Step 5: Finally, solve for x by dividing both sides by 5:

x = 13.20 / 5

x = 2.64

So, the solution to the equation is x = 2.64.