Step-by-step explanation:
|x-4|=6x+16 To find the absolute value :
x - 4 = 6x + 16 or x - 4 = -6x - 16 for first equation
x - 4 = 6x + 16 export like terms to the same side of the equation
-4 - 16 = 6x - x (The terms chages signs from negative to positive and from positive to negative when exported to the other sideof the equation)
-20 = 5x divide by 5
-4 = x
For the second equation
x - 4 = -6x - 16 export like terms to the same side of the equation
x + 6x = -16 + 4
7x = -12
x = 1.7 approximately
Normally, we could add exponents.
however, that only is possible when the bases are the same
recall what exponents mean
12³=12*12*12
so we cannot add exponents for 12³*11³ because that means 12*12*12*11*11*11
it would not equal 12⁶ or 11⁶
or you could refer to the rule
notice when x=x then we can add the bases
fun fact below
we can reverse a previous exponential rule like this
since
then
therefor
we can't add the exponents because the bases are not the same