X(14+2x)=13+(2x-3)

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Solution for X(14+2x)=13+(2x-3) equation: 


Simplifying
X(14 + 2x) = 13 + (2x + -3)
(14 * X + 2x * X) = 13 + (2x + -3)
(14X + 2xX) = 13 + (2x + -3)

Reorder the terms:
14X + 2xX = 13 + (-3 + 2x)

Remove parenthesis around (-3 + 2x)
14X + 2xX = 13 + -3 + 2x

Combine like terms: 13 + -3 = 10
14X + 2xX = 10 + 2x

Solving
14X + 2xX = 10 + 2x

Solving for variable 'X'.

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

Reorder the terms:
-10 + 14X + -2x + 2xX = 10 + 2x + -10 + -2x

Reorder the terms:
-10 + 14X + -2x + 2xX = 10 + -10 + 2x + -2x

Combine like terms: 10 + -10 = 0
-10 + 14X + -2x + 2xX = 0 + 2x + -2x
-10 + 14X + -2x + 2xX = 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 14X + -2x + 2xX = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 7X + -1x + xX) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + 7X + -1x + xX)' equal to zero and attempt to solve:

Simplifying
-5 + 7X + -1x + xX = 0

Solving
-5 + 7X + -1x + xX = 0

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

Add '5' to each side of the equation.
-5 + 7X + -1x + 5 + xX = 0 + 5

Reorder the terms:
-5 + 5 + 7X + -1x + xX = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 7X + -1x + xX = 0 + 5
7X + -1x + xX = 0 + 5

Combine like terms: 0 + 5 = 5
7X + -1x + xX = 5

Add 'x' to each side of the equation.
7X + -1x + x + xX = 5 + x

Combine like terms: -1x + x = 0
7X + 0 + xX = 5 + x
7X + xX = 5 + x

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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