12-7(x-9)=75+bx

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Solution for 12-7(x-9)=75+bx equation: 


Simplifying
12 + -7(x + -9) = 75 + bx

Reorder the terms:
12 + -7(-9 + x) = 75 + bx
12 + (-9 * -7 + x * -7) = 75 + bx
12 + (63 + -7x) = 75 + bx

Combine like terms: 12 + 63 = 75
75 + -7x = 75 + bx

Add '-75' to each side of the equation.
75 + -75 + -7x = 75 + -75 + bx

Combine like terms: 75 + -75 = 0
0 + -7x = 75 + -75 + bx
-7x = 75 + -75 + bx

Combine like terms: 75 + -75 = 0
-7x = 0 + bx
-7x = bx

Solving
-7x = 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 + -7x = bx + -1bx

Combine like terms: bx + -1bx = 0
-1bx + -7x = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(b + 7) = 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 + 7)' equal to zero and attempt to solve:

Simplifying
b + 7 = 0

Reorder the terms:
7 + b = 0

Solving
7 + b = 0

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

Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7

Combine like terms: 0 + -7 = -7
b = -7

Add '-1b' to each side of the equation.
b + -1b = -7 + -1b

Combine like terms: b + -1b = 0
0 = -7 + -1b

Simplifying
0 = -7 + -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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