12(x+3)=4(2x+9)+4xh

Solution for 12(x+3)=4(2x+9)+4xh equation:

Simplifying
12(x + 3) = 4(2x + 9) + 4xh

Reorder the terms:
12(3 + x) = 4(2x + 9) + 4xh
(3 * 12 + x * 12) = 4(2x + 9) + 4xh
(36 + 12x) = 4(2x + 9) + 4xh

Reorder the terms:
36 + 12x = 4(9 + 2x) + 4xh
36 + 12x = (9 * 4 + 2x * 4) + 4xh
36 + 12x = (36 + 8x) + 4xh

Reorder the terms:
36 + 12x = 36 + 4hx + 8x

Add '-36' to each side of the equation.
36 + -36 + 12x = 36 + 4hx + -36 + 8x

Combine like terms: 36 + -36 = 0
0 + 12x = 36 + 4hx + -36 + 8x
12x = 36 + 4hx + -36 + 8x

Reorder the terms:
12x = 36 + -36 + 4hx + 8x

Combine like terms: 36 + -36 = 0
12x = 0 + 4hx + 8x
12x = 4hx + 8x

Solving
12x = 4hx + 8x

Solving for variable 'x'.

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

Add '-4hx' to each side of the equation.
-4hx + 12x = 4hx + -4hx + 8x

Combine like terms: 4hx + -4hx = 0
-4hx + 12x = 0 + 8x
-4hx + 12x = 8x

Add '-8x' to each side of the equation.
-4hx + 12x + -8x = 8x + -8x

Combine like terms: 12x + -8x = 4x
-4hx + 4x = 8x + -8x

Combine like terms: 8x + -8x = 0
-4hx + 4x = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-1h + 1) = 0

Ignore the factor 4.
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 '(-1h + 1)' equal to zero and attempt to solve:

Simplifying
-1h + 1 = 0

Reorder the terms:
1 + -1h = 0

Solving
1 + -1h = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1h = 0 + -1
-1h = 0 + -1

Combine like terms: 0 + -1 = -1
-1h = -1

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

Combine like terms: -1h + h = 0
0 = -1 + h

Simplifying
0 = -1 + h

The solution to this equation could not be determined.

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