3x+21=46-2x

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Solution for 3x+21=46-2x equation:


Simplifying
3x + 21 = 46 + -2x

Reorder the terms:
21 + 3x = 46 + -2x

Solving
21 + 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.
21 + 3x + 2x = 46 + -2x + 2x

Combine like terms: 3x + 2x = 5x
21 + 5x = 46 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 5x = 46 + 0
21 + 5x = 46

Add '-21' to each side of the equation.
21 + -21 + 5x = 46 + -21

Combine like terms: 21 + -21 = 0
0 + 5x = 46 + -21
5x = 46 + -21

Combine like terms: 46 + -21 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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