4x[(M-23)+(22-X)]=12

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Solution for 4x[(M-23)+(22-X)]=12 equation: 


Simplifying
4x[(M + -23) + (22 + -1X)] = 12

Reorder the terms:
4x[(-23 + M) + (22 + -1X)] = 12

Remove parenthesis around (-23 + M)
4x[-23 + M + (22 + -1X)] = 12

Remove parenthesis around (22 + -1X)
4x[-23 + M + 22 + -1X] = 12

Reorder the terms:
4x[-23 + 22 + M + -1X] = 12

Combine like terms: -23 + 22 = -1
4x[-1 + M + -1X] = 12
[-1 * 4x + M * 4x + -1X * 4x] = 12
[-4x + 4xM + -4xX] = 12

Solving
-4x + 4xM + -4xX = 12

Solving for variable 'x'.

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

Reorder the terms:
-12 + -4x + 4xM + -4xX = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -4x + 4xM + -4xX = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + -1x + xM + -1xX) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + -1x + xM + -1xX)' equal to zero and attempt to solve:

Simplifying
-3 + -1x + xM + -1xX = 0

Solving
-3 + -1x + xM + -1xX = 0

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

Add '3' to each side of the equation.
-3 + -1x + xM + 3 + -1xX = 0 + 3

Reorder the terms:
-3 + 3 + -1x + xM + -1xX = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x + xM + -1xX = 0 + 3
-1x + xM + -1xX = 0 + 3

Combine like terms: 0 + 3 = 3
-1x + xM + -1xX = 3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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