8x+3(2-x)=fx+6

Solution for 8x+3(2-x)=fx+6 equation:

Simplifying
8x + 3(2 + -1x) = fx + 6
8x + (2 * 3 + -1x * 3) = fx + 6
8x + (6 + -3x) = fx + 6

Reorder the terms:
6 + 8x + -3x = fx + 6

Combine like terms: 8x + -3x = 5x
6 + 5x = fx + 6

Reorder the terms:
6 + 5x = 6 + fx

Add '-6' to each side of the equation.
6 + -6 + 5x = 6 + -6 + fx

Combine like terms: 6 + -6 = 0
0 + 5x = 6 + -6 + fx
5x = 6 + -6 + fx

Combine like terms: 6 + -6 = 0
5x = 0 + fx
5x = fx

Solving
5x = fx

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1fx' to each side of the equation.
-1fx + 5x = fx + -1fx

Combine like terms: fx + -1fx = 0
-1fx + 5x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1f + 5) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(-1f + 5)' equal to zero and attempt to solve:

Simplifying
-1f + 5 = 0

Reorder the terms:
5 + -1f = 0

Solving
5 + -1f = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1f = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1f = 0 + -5
-1f = 0 + -5

Combine like terms: 0 + -5 = -5
-1f = -5

Add 'f' to each side of the equation.
-1f + f = -5 + f

Combine like terms: -1f + f = 0
0 = -5 + f

Simplifying
0 = -5 + f

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}