x=3bx-7x

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Solution for x=3bx-7x equation: 


Simplifying
x = 3bx + -7x

Solving
x = 3bx + -7x

Solving for variable 'x'.

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

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

Combine like terms: 3bx + -3bx = 0
-3bx + x = 0 + -7x
-3bx + x = -7x

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

Combine like terms: x + 7x = 8x
-3bx + 8x = -7x + 7x

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3b + 8) = 0


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 '(-3b + 8)' equal to zero and attempt to solve:

Simplifying
-3b + 8 = 0

Reorder the terms:
8 + -3b = 0

Solving
8 + -3b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3b = 0 + -8

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

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

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

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

Simplifying
0 = -8 + 3b

The solution to this equation could not be determined.

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

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