3x+38=11x-58

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Solution for 3x+38=11x-58 equation: 


Simplifying
3x + 38 = 11x + -58

Reorder the terms:
38 + 3x = 11x + -58

Reorder the terms:
38 + 3x = -58 + 11x

Solving
38 + 3x = -58 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
38 + 3x + -11x = -58 + 11x + -11x

Combine like terms: 3x + -11x = -8x
38 + -8x = -58 + 11x + -11x

Combine like terms: 11x + -11x = 0
38 + -8x = -58 + 0
38 + -8x = -58

Add '-38' to each side of the equation.
38 + -38 + -8x = -58 + -38

Combine like terms: 38 + -38 = 0
0 + -8x = -58 + -38
-8x = -58 + -38

Combine like terms: -58 + -38 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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