3x+41=9-5x

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Solution for 3x+41=9-5x equation:


Simplifying
3x + 41 = 9 + -5x

Reorder the terms:
41 + 3x = 9 + -5x

Solving
41 + 3x = 9 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
41 + 3x + 5x = 9 + -5x + 5x

Combine like terms: 3x + 5x = 8x
41 + 8x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
41 + 8x = 9 + 0
41 + 8x = 9

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

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

Combine like terms: 9 + -41 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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