3x+9=11x-41

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Solution for 3x+9=11x-41 equation:


Simplifying
3x + 9 = 11x + -41

Reorder the terms:
9 + 3x = 11x + -41

Reorder the terms:
9 + 3x = -41 + 11x

Solving
9 + 3x = -41 + 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.
9 + 3x + -11x = -41 + 11x + -11x

Combine like terms: 3x + -11x = -8x
9 + -8x = -41 + 11x + -11x

Combine like terms: 11x + -11x = 0
9 + -8x = -41 + 0
9 + -8x = -41

Add '-9' to each side of the equation.
9 + -9 + -8x = -41 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = -41 + -9
-8x = -41 + -9

Combine like terms: -41 + -9 = -50
-8x = -50

Divide each side by '-8'.
x = 6.25

Simplifying
x = 6.25

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