Find the value of x that makes the following equation true.
-4x + 26 = -2

x = 7

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Note that:

PEMDAS = Order of Operation:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 26 from both sides:

-4x + 26 (-26) = -2 (-26)

-4x = -28

Next, divide -4 from both sides.

(-4x)/-4 = (-28)/-4

x = -28/-4

x = 28/4

x = 7

x = 7 is your answer.

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since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: