7dx-2d=3dx+6d

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Solution for 7dx-2d=3dx+6d equation: 


Simplifying
7dx + -2d = 3dx + 6d

Reorder the terms:
-2d + 7dx = 3dx + 6d

Reorder the terms:
-2d + 7dx = 6d + 3dx

Solving
-2d + 7dx = 6d + 3dx

Solving for variable 'd'.

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

Add '-6d' to each side of the equation.
-2d + -6d + 7dx = 6d + -6d + 3dx

Combine like terms: -2d + -6d = -8d
-8d + 7dx = 6d + -6d + 3dx

Combine like terms: 6d + -6d = 0
-8d + 7dx = 0 + 3dx
-8d + 7dx = 3dx

Add '-3dx' to each side of the equation.
-8d + 7dx + -3dx = 3dx + -3dx

Combine like terms: 7dx + -3dx = 4dx
-8d + 4dx = 3dx + -3dx

Combine like terms: 3dx + -3dx = 0
-8d + 4dx = 0

Factor out the Greatest Common Factor (GCF), '4d'.
4d(-2 + x) = 0

Ignore the factor 4.

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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

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

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Add '-1x' to each side of the equation.
x + -1x = 2 + -1x

Combine like terms: x + -1x = 0
0 = 2 + -1x

Simplifying
0 = 2 + -1x

The solution to this equation could not be determined.

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

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