Question

3x-6 2x x+4------ = ---- - ----- 6 3 2​

Answer 1

Ответ:

Пошаговое объяснение:

(3x-6)/6 = (2x)/3 - (x+4 )/2    /*6

3x - 6 = 4x - 3x - 12

3x - 6 = x - 12

3x - x = -12 + 6

2x = -6

x = -6 : 2

x = -3

Answer 2

To simplify the given expression:

(3x - 6)/(6) = (2x)/(3) - (x + 4)/(2)

First, let's simplify the fractions on the right-hand side by finding the common denominator, which is 6:

(3x - 6)/(6) = (2x * 2)/(3 * 2) - (x * 3)/(2 * 3)

(3x - 6)/(6) = (4x)/(6) - (3x)/(6)

Now, we can combine the fractions on the right-hand side:

(3x - 6)/(6) = (4x - 3x)/(6)

Next, let's simplify the fractions:

(3x - 6)/(6) = x/(6)

Since both sides have a denominator of 6, we can multiply both sides by 6 to eliminate the fractions:

6 * (3x - 6)/(6) = 6 * (x/(6))

Canceling out the denominators on both sides, we have:

3x - 6 = x

Now, let's isolate x by moving all terms involving x to one side:

3x - x = 6

2x = 6

Dividing both sides by 2:

x = 6/2

x = 3

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