3x-9=14x+41

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Solution for 3x-9=14x+41 equation:


Simplifying
3x + -9 = 14x + 41

Reorder the terms:
-9 + 3x = 14x + 41

Reorder the terms:
-9 + 3x = 41 + 14x

Solving
-9 + 3x = 41 + 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.
-9 + 3x + -14x = 41 + 14x + -14x

Combine like terms: 3x + -14x = -11x
-9 + -11x = 41 + 14x + -14x

Combine like terms: 14x + -14x = 0
-9 + -11x = 41 + 0
-9 + -11x = 41

Add '9' to each side of the equation.
-9 + 9 + -11x = 41 + 9

Combine like terms: -9 + 9 = 0
0 + -11x = 41 + 9
-11x = 41 + 9

Combine like terms: 41 + 9 = 50
-11x = 50

Divide each side by '-11'.
x = -4.545454545

Simplifying
x = -4.545454545

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