3x+6=41-2x

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Solution for 3x+6=41-2x equation:


Simplifying
3x + 6 = 41 + -2x

Reorder the terms:
6 + 3x = 41 + -2x

Solving
6 + 3x = 41 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 3x + 2x = 41 + -2x + 2x

Combine like terms: 3x + 2x = 5x
6 + 5x = 41 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 5x = 41 + 0
6 + 5x = 41

Add '-6' to each side of the equation.
6 + -6 + 5x = 41 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 41 + -6
5x = 41 + -6

Combine like terms: 41 + -6 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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