Question

2x+3/6 + 1-4x/8 = 1/3

Answer 1

Ответ:

Смотри решение на фото

Answer 2

To solve the equation 2x + 3/6 + 1 - 4x/8 = 1/3, you can follow these steps:

Step 1: Simplify the fractions:

3/6 can be simplified to 1/2.

4x/8 can be simplified to x/2.

The equation becomes:

2x + 1/2 + 1 - x/2 = 1/3.

Step 2: Combine like terms on both sides of the equation:

2x - x/2 + 1/2 + 1 = 1/3.

Step 3: Get rid of the fraction by multiplying both sides of the equation by 6 (the least common multiple of 2 and 3):

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

This simplifies to:

12x - 3x + 3 + 6 = 2.

Step 4: Combine like terms again:

(12x - 3x) + (3 + 6) = 2.

9x + 9 = 2.

Step 5: Now, isolate the variable x. First, subtract 9 from both sides of the equation:

9x + 9 - 9 = 2 - 9.

9x = -7.

Step 6: Finally, solve for x by dividing both sides by 9:

9x/9 = -7/9.

x = -7/9.

So, the solution to the equation is:

x = -7/9.