Question

Solve for the variable. Show all work. 8(1 - x) + 36 = -2(4x + 24) + 95

Answer 1

This statement is false, there is no variable to make this statement true.

Answer 2

remember that you can do anything to an equation as long as you do it to both sides

8(1-x)+36=-2(4x+24)+95

distribute

8-8x+36=-8x-48+95

-8x+44=-8x+47

add 8x to both sides

44=47

false

since the variables dissapeared and we were left with a false statement, no value of x will satisfy the equation

x={} (the empty set, no solution)