7bx-2b=3bx+6b

Solution for 7bx-2b=3bx+6b equation:

Simplifying
7bx + -2b = 3bx + 6b

Reorder the terms:
-2b + 7bx = 3bx + 6b

Reorder the terms:
-2b + 7bx = 6b + 3bx

Solving
-2b + 7bx = 6b + 3bx

Solving for variable 'b'.

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

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

Combine like terms: -2b + -6b = -8b
-8b + 7bx = 6b + -6b + 3bx

Combine like terms: 6b + -6b = 0
-8b + 7bx = 0 + 3bx
-8b + 7bx = 3bx

Add '-3bx' to each side of the equation.
-8b + 7bx + -3bx = 3bx + -3bx

Combine like terms: 7bx + -3bx = 4bx
-8b + 4bx = 3bx + -3bx

Combine like terms: 3bx + -3bx = 0
-8b + 4bx = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 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 b 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
b = {0}