3x+2=46-3x

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Solution for 3x+2=46-3x equation: 


Simplifying
3x + 2 = 46 + -3x

Reorder the terms:
2 + 3x = 46 + -3x

Solving
2 + 3x = 46 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + 3x + 3x = 46 + -3x + 3x

Combine like terms: 3x + 3x = 6x
2 + 6x = 46 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 6x = 46 + 0
2 + 6x = 46

Add '-2' to each side of the equation.
2 + -2 + 6x = 46 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 46 + -2
6x = 46 + -2

Combine like terms: 46 + -2 = 44
6x = 44

Divide each side by '6'.
x = 7.333333333

Simplifying
x = 7.333333333

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