Question

2|x|+3|x|-18=|x|-7|x|+15

Answer 1

2|x|+3|x|-|x|+7|x|=15+18
11|x|=33
|x|=33÷11
x1=3
x2=-3

Answer 2

X(2+3-18)=x(7+15).
Мы так решали.

Answer 3

To solve the equation 2|x| + 3|x| - 18 = |x| - 7|x| + 15, you can start by simplifying the absolute value expressions and then solving for x.

Let's break down the equation step by step:

1. Combine like terms on both sides of the equation:

   (2|x| + 3|x|) - 18 = (|x| - 7|x|) + 15

   5|x| - 18 = -6|x| + 15

2. Move all the terms containing |x| to one side of the equation and constants to the other side:

   5|x| + 6|x| = 18 + 15

   (5 + 6)|x| = 33

3. Combine the coefficients on the left side:

   11|x| = 33

4. Now, divide both sides by 11 to isolate |x|:

   |x| = 33 / 11

5. Simplify the right side:

   |x| = 3

6. To remove the absolute value, we consider two cases:

   Case 1: x is positive or zero (x ≥ 0)

   If |x| = 3, then x can be 3:

   x = 3

   Case 2: x is negative (x < 0)

   If |x| = 3, then x can be -3:

   x = -3

So, the solution to the equation 2|x| + 3|x| - 18 = |x| - 7|x| + 15 is x = 3 and x = -3.