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