3x+21+3x-4=46-3x+34

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Solution for 3x+21+3x-4=46-3x+34 equation: 


Simplifying
3x + 21 + 3x + -4 = 46 + -3x + 34

Reorder the terms:
21 + -4 + 3x + 3x = 46 + -3x + 34

Combine like terms: 21 + -4 = 17
17 + 3x + 3x = 46 + -3x + 34

Combine like terms: 3x + 3x = 6x
17 + 6x = 46 + -3x + 34

Reorder the terms:
17 + 6x = 46 + 34 + -3x

Combine like terms: 46 + 34 = 80
17 + 6x = 80 + -3x

Solving
17 + 6x = 80 + -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.
17 + 6x + 3x = 80 + -3x + 3x

Combine like terms: 6x + 3x = 9x
17 + 9x = 80 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + 9x = 80 + 0
17 + 9x = 80

Add '-17' to each side of the equation.
17 + -17 + 9x = 80 + -17

Combine like terms: 17 + -17 = 0
0 + 9x = 80 + -17
9x = 80 + -17

Combine like terms: 80 + -17 = 63
9x = 63

Divide each side by '9'.
x = 7

Simplifying
x = 7

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