3x+7=bx+7

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Solution for 3x+7=bx+7 equation: 


Simplifying
3x + 7 = bx + 7

Reorder the terms:
7 + 3x = bx + 7

Reorder the terms:
7 + 3x = 7 + bx

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

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

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

Solving
3x = 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 + 3x = bx + -1bx

Combine like terms: bx + -1bx = 0
-1bx + 3x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1b + 3) = 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 '(-1b + 3)' equal to zero and attempt to solve:

Simplifying
-1b + 3 = 0

Reorder the terms:
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Add 'b' to each side of the equation.
-1b + b = -3 + b

Combine like terms: -1b + b = 0
0 = -3 + b

Simplifying
0 = -3 + b

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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