Question

|5x - 4(2x + 3)| = 6​

Answer 1

Ответ:

-6 ;-2

Пошаговое объяснение:

|5x - 4(2x + 3)|=6​

|5x-8x-12|=6

|-3x-12|=6

-3x-12=±6

-3x-12=6        -3x-12=-6

-3x=18            -3x=6

x=-6                 x=-2

все корни подходят

Answer 2

To solve the equation |5x - 4(2x + 3)| = 6, you'll need to consider two cases: one where the expression inside the absolute value bars is positive and one where it's negative. This is because the absolute value of a number is either the number itself if it's positive or its negation if it's negative.

Case 1: 5x - 4(2x + 3) is positive.

In this case, you don't need to change the absolute value, and the equation becomes:

5x - 4(2x + 3) = 6

Now, solve for x:

5x - 8x - 12 = 6

Combine like terms:

-3x - 12 = 6

Add 12 to both sides:

-3x = 18

Divide by -3 to isolate x:

x = -6

Case 2: 5x - 4(2x + 3) is negative.

In this case, you need to negate the expression inside the absolute value bars, and the equation becomes:

-(5x - 4(2x + 3)) = 6

Now, solve for x:

-5x + 8x + 12 = 6

Combine like terms:

3x + 12 = 6

Subtract 12 from both sides:

3x = -6

Divide by 3 to isolate x:

x = -2

So, the equation |5x - 4(2x + 3)| = 6 has two solutions: x = -6 and x = -2.