Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2x-4=3^-x +1

2x-4=3-x +1
Simplifying 2x + -4 = 3 + -1x + 1
 Reorder the terms: -4 + 2x = 3 + -1x + 1
 Reorder the terms: -4 + 2x = 3 + 1 + -1x
 Combine like terms: 3 + 1 = 4 -4 + 2x = 4 + -1x
 Solving -4 + 2x = 4 + -1x
 Solving for variable 'x'.
 Move all terms containing x to the left, all other terms to the right.
 Add 'x' to each side of the equation. -4 + 2x + x = 4 + -1x + x
 Combine like terms: 2x + x = 3x -4 + 3x = 4 + -1x + x
 Combine like terms: -1x + x = 0 -4 + 3x = 4 + 0 -4 + 3x = 4
 Add '4' to each side of the equation. -4 + 4 + 3x = 4 + 4
 Combine like terms: -4 + 4 = 0 0 + 3x = 4 + 4 3x = 4 + 4
Combine like terms: 4 + 4 = 8 3x = 8
 Divide each side by '3'. x = 2.666666667
 Simplifying x = 2.666666667