2x+9=41-8x

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Solution for 2x+9=41-8x equation:


Simplifying
2x + 9 = 41 + -8x

Reorder the terms:
9 + 2x = 41 + -8x

Solving
9 + 2x = 41 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
9 + 2x + 8x = 41 + -8x + 8x

Combine like terms: 2x + 8x = 10x
9 + 10x = 41 + -8x + 8x

Combine like terms: -8x + 8x = 0
9 + 10x = 41 + 0
9 + 10x = 41

Add '-9' to each side of the equation.
9 + -9 + 10x = 41 + -9

Combine like terms: 9 + -9 = 0
0 + 10x = 41 + -9
10x = 41 + -9

Combine like terms: 41 + -9 = 32
10x = 32

Divide each side by '10'.
x = 3.2

Simplifying
x = 3.2

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