Question

What reasons can be given for the steps in solving the equation for x ?

-2(4x + 3) = 26

-2(4x) + -2(3) = 26

-8x - 6 = 26

-8x - 6 + 6 = 26 + 6

-8x = 32

-8x/-8 = 32/-8

x =

Answer 1

-4

The steps in solving the equation for x are necessary to isolate the variable x and find its value. The first step is to use the distributive property to separate the 4x and 3 terms. The second step is to combine like terms on the left side of the equation. The third step is to add the opposite of the 6 to both sides of the equation. The fourth step is to divide both sides of the equation by -8 to isolate the x variable. The fifth step is to find the value of x, which is -4.

Answer 2

Essential steps after you learn this topic:
(your math teacher would expect to see these steps)

-2(4x + 3) = 26
-8x - 6 = 26
-8x = 32
x = -4

Answer 3

Thank you!