3x+16=46-2x

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Solution for 3x+16=46-2x equation:


Simplifying
3x + 16 = 46 + -2x

Reorder the terms:
16 + 3x = 46 + -2x

Solving
16 + 3x = 46 + -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.
16 + 3x + 2x = 46 + -2x + 2x

Combine like terms: 3x + 2x = 5x
16 + 5x = 46 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + 5x = 46 + 0
16 + 5x = 46

Add '-16' to each side of the equation.
16 + -16 + 5x = 46 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 46 + -16
5x = 46 + -16

Combine like terms: 46 + -16 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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