Question

4) 4 • |х| - 7 = -2|х| +5​

Answer 1

Ответ:

4*|x|-7=-2|x|+5

4*|x|-7+2*|x|=5

4*|x|-7+2*|x|=5+7

6*|x|=5+7

6*|x|=12

|x|=2

x=2

x=-2

$x_{1} = - 2. x_{2} = 2$

Answer 2

To solve the given equation $4 |x| - 7 = -2 |x| + 5$, we'll isolate the absolute value expression and solve for $x$. Here are the steps:

1. Isolate the absolute value expression on one side:

   $$4 |x| - 7 = -2 |x| + 5$$

   Add $2 |x|$ to both sides:

   $$6 |x| - 7 = 5$$

2. Isolate the absolute value expression further: Add $7$ to both sides:

   $$6 |x| = 12$$

3. Isolate the absolute value by dividing by $6$:

   $$|x| = \frac{12}{6}$$

   Simplify the fraction:

   $$|x| = 2$$

4. Determine the possible values for $x$: The absolute value of $x$ can be $2$ or $-2$ since both will give $|x| = 2$.

So, $x$ can be $2$ or $-2$.