16x+6=14x+10f(x)

Solution for 16x+6=14x+10f(x) equation:

Simplifying
16x + 6 = 14x + 10f(x)

Reorder the terms:
6 + 16x = 14x + 10f(x)

Multiply f * x
6 + 16x = 14x + 10fx

Reorder the terms:
6 + 16x = 10fx + 14x

Solving
6 + 16x = 10fx + 14x

Solving for variable 'x'.

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

Add '-10fx' to each side of the equation.
6 + -10fx + 16x = 10fx + -10fx + 14x

Combine like terms: 10fx + -10fx = 0
6 + -10fx + 16x = 0 + 14x
6 + -10fx + 16x = 14x

Add '-14x' to each side of the equation.
6 + -10fx + 16x + -14x = 14x + -14x

Combine like terms: 16x + -14x = 2x
6 + -10fx + 2x = 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -10fx + 2x = 0

Add '-6' to each side of the equation.
6 + -10fx + -6 + 2x = 0 + -6

Reorder the terms:
6 + -6 + -10fx + 2x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -10fx + 2x = 0 + -6
-10fx + 2x = 0 + -6

Combine like terms: 0 + -6 = -6
-10fx + 2x = -6

Reorder the terms:
6 + -10fx + 2x = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -10fx + 2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -5fx + x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -5fx + x)' equal to zero and attempt to solve:

Simplifying
3 + -5fx + x = 0

Solving
3 + -5fx + x = 0

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

Add '-3' to each side of the equation.
3 + -5fx + -3 + x = 0 + -3

Reorder the terms:
3 + -3 + -5fx + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5fx + x = 0 + -3
-5fx + x = 0 + -3

Combine like terms: 0 + -3 = -3
-5fx + x = -3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.