-3(2x-3)+5x=bx+9

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Solution for -3(2x-3)+5x=bx+9 equation: 


Simplifying
-3(2x + -3) + 5x = bx + 9

Reorder the terms:
-3(-3 + 2x) + 5x = bx + 9
(-3 * -3 + 2x * -3) + 5x = bx + 9
(9 + -6x) + 5x = bx + 9

Combine like terms: -6x + 5x = -1x
9 + -1x = bx + 9

Reorder the terms:
9 + -1x = 9 + bx

Add '-9' to each side of the equation.
9 + -9 + -1x = 9 + -9 + bx

Combine like terms: 9 + -9 = 0
0 + -1x = 9 + -9 + bx
-1x = 9 + -9 + bx

Combine like terms: 9 + -9 = 0
-1x = 0 + bx
-1x = bx

Solving
-1x = bx

Solving for variable 'x'.

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

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

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

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

Ignore the factor -1.

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 '(b + 1)' equal to zero and attempt to solve:

Simplifying
b + 1 = 0

Reorder the terms:
1 + b = 0

Solving
1 + b = 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 + b = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -1b

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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