Question

(x+12):9-(x-1):6=(x+1):3​

Answer 1

Пошаговое объяснение:

раскроем скобки :

если перед скобками минус, то в скобках знаки меняются -

х + 12 : 9 - х + 1 : 6 = х + 1 : 3

примеры с х переносим в левую часть.

+ + (-х) - х = 12 * 9 -1 *3

-1 = 105

х = 105 : -1

х = 105

Answer 2

(x+12):9-(x-1):6=(x+1):3​

x=3

Answer 3

To solve the given equation, let's simplify each fraction on both sides and then proceed with the algebraic manipulations:

On the left side: (x + 12) / 9 - (x - 1) / 6

To simplify the fractions, we need to find a common denominator, which is 18 in this case. We multiply the first fraction by 2/2 and the second fraction by 3/3 to obtain:

(2 * (x + 12)) / 18 - (3 * (x - 1)) / 18

Simplifying further:

(2x + 24) / 18 - (3x - 3) / 18

Now, on the right side: (x + 1) / 3

To combine both sides of the equation, we need a common denominator, which is 18. So, we multiply the right side by 6/6:

(6 * (x + 1)) / 18

Simplifying further:

(6x + 6) / 18

Now, we have the equation as:

(2x + 24) / 18 - (3x - 3) / 18 = (6x + 6) / 18

Since the denominators are the same, we can drop them:

2x + 24 - 3x + 3 = 6x + 6

Combine like terms:

-x + 27 = 6x + 6

To isolate the variable, we can add x to both sides:

27 = 7x + 6

Subtract 6 from both sides:

21 = 7x

Divide both sides by 7:

3 = x

Therefore, the solution to the equation is x = 3.