Question

Solve the equation. 4)x+ 5|- 6 = 6

Answer 1

Answer:

x = -2, x = -8

Step-by-step explanation:

I'm guessing the equation is 4|x+5| - 6 = 6. When there's an absolute value sign in the equation, we have two possible outcomes as |x| can be equal to x or -x. Thus, we have two values of x for which the equation will be true. Let's first split the equation into two:

$4(x+5)-6=6$

$4(-x-5)-6=6$

Now, solve both; first equation:

$4x+20-6=6$

$4x+14=6$

$4x=-8$

$x=-2$

Second one:

$-4x-20-6=6$

$-4x=32$

$x = -8$

Thus, 4|x+5| - 6 = 6 has two real solutions: {x: x = -2, -8}