5X+38=14X-52

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Solution for 5X+38=14X-52 equation:


Simplifying
5X + 38 = 14X + -52

Reorder the terms:
38 + 5X = 14X + -52

Reorder the terms:
38 + 5X = -52 + 14X

Solving
38 + 5X = -52 + 14X

Solving for variable 'X'.

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

Add '-14X' to each side of the equation.
38 + 5X + -14X = -52 + 14X + -14X

Combine like terms: 5X + -14X = -9X
38 + -9X = -52 + 14X + -14X

Combine like terms: 14X + -14X = 0
38 + -9X = -52 + 0
38 + -9X = -52

Add '-38' to each side of the equation.
38 + -38 + -9X = -52 + -38

Combine like terms: 38 + -38 = 0
0 + -9X = -52 + -38
-9X = -52 + -38

Combine like terms: -52 + -38 = -90
-9X = -90

Divide each side by '-9'.
X = 10

Simplifying
X = 10

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