3(3x+3)=14x+6-5xd+3

Solution for 3(3x+3)=14x+6-5xd+3 equation:

Simplifying
3(3x + 3) = 14x + 6 + -5xd + 3

Reorder the terms:
3(3 + 3x) = 14x + 6 + -5xd + 3
(3 * 3 + 3x * 3) = 14x + 6 + -5xd + 3
(9 + 9x) = 14x + 6 + -5xd + 3

Reorder the terms:
9 + 9x = 6 + 3 + -5dx + 14x

Combine like terms: 6 + 3 = 9
9 + 9x = 9 + -5dx + 14x

Add '-9' to each side of the equation.
9 + -9 + 9x = 9 + -5dx + -9 + 14x

Combine like terms: 9 + -9 = 0
0 + 9x = 9 + -5dx + -9 + 14x
9x = 9 + -5dx + -9 + 14x

Reorder the terms:
9x = 9 + -9 + -5dx + 14x

Combine like terms: 9 + -9 = 0
9x = 0 + -5dx + 14x
9x = -5dx + 14x

Solving
9x = -5dx + 14x

Solving for variable 'x'.

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

Add '5dx' to each side of the equation.
5dx + 9x = -5dx + 5dx + 14x

Combine like terms: -5dx + 5dx = 0
5dx + 9x = 0 + 14x
5dx + 9x = 14x

Add '-14x' to each side of the equation.
5dx + 9x + -14x = 14x + -14x

Combine like terms: 9x + -14x = -5x
5dx + -5x = 14x + -14x

Combine like terms: 14x + -14x = 0
5dx + -5x = 0

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

Ignore the factor 5.
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 '(d + -1)' equal to zero and attempt to solve:

Simplifying
d + -1 = 0

Reorder the terms:
-1 + d = 0

Solving
-1 + d = 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 + d = 0 + 1

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

Combine like terms: 0 + 1 = 1
d = 1

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

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

Simplifying
0 = 1 + -1d

The solution to this equation could not be determined.

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