Solve -3x + 12 = x - 4.
show each step of your work.

Answer x=4

Step-by-step explanation

-3x+12=x-4

+3x      +3x

12=4x-4

+4      +4

16=4x

16/4=4x/4

x=4

-3x+12=x-4

move x to the other side

sign changes from +x to -x

-3x-x+12=x-x-4

-3x-x=-4x ( combine like terms)

-4x+12=x-x-4

-4x+12=-4

move +12 to the other side

sign changes from +12 to -12

-4x+12-12=-4-12

-4x=-4-12

-4x=-16

divide both sides by -4 to get +x

-4x/-4=-16/-4

Cross out -4 and -4, divide by 4 . Then becomes -1*-1*x=x

divide by -4 for -16/-4

-16/-4=4

-4/-4=1

4*1=4

x=4

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no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.