3X+38=13X-52

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Solution for 3X+38=13X-52 equation: 


Simplifying
3X + 38 = 13X + -52

Reorder the terms:
38 + 3X = 13X + -52

Reorder the terms:
38 + 3X = -52 + 13X

Solving
38 + 3X = -52 + 13X

Solving for variable 'X'.

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

Add '-13X' to each side of the equation.
38 + 3X + -13X = -52 + 13X + -13X

Combine like terms: 3X + -13X = -10X
38 + -10X = -52 + 13X + -13X

Combine like terms: 13X + -13X = 0
38 + -10X = -52 + 0
38 + -10X = -52

Add '-38' to each side of the equation.
38 + -38 + -10X = -52 + -38

Combine like terms: 38 + -38 = 0
0 + -10X = -52 + -38
-10X = -52 + -38

Combine like terms: -52 + -38 = -90
-10X = -90

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

Simplifying
X = 9

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