2X+38=12X-82

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Solution for 2X+38=12X-82 equation:


Simplifying
2X + 38 = 12X + -82

Reorder the terms:
38 + 2X = 12X + -82

Reorder the terms:
38 + 2X = -82 + 12X

Solving
38 + 2X = -82 + 12X

Solving for variable 'X'.

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

Add '-12X' to each side of the equation.
38 + 2X + -12X = -82 + 12X + -12X

Combine like terms: 2X + -12X = -10X
38 + -10X = -82 + 12X + -12X

Combine like terms: 12X + -12X = 0
38 + -10X = -82 + 0
38 + -10X = -82

Add '-38' to each side of the equation.
38 + -38 + -10X = -82 + -38

Combine like terms: 38 + -38 = 0
0 + -10X = -82 + -38
-10X = -82 + -38

Combine like terms: -82 + -38 = -120
-10X = -120

Divide each side by '-10'.
X = 12

Simplifying
X = 12

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