(3x-1)+(7-x)=0

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Solution for (3x-1)+(7-x)=0 equation:


Simplifying
(3x + -1) + (7 + -1x) = 0

Reorder the terms:
(-1 + 3x) + (7 + -1x) = 0

Remove parenthesis around (-1 + 3x)
-1 + 3x + (7 + -1x) = 0

Remove parenthesis around (7 + -1x)
-1 + 3x + 7 + -1x = 0

Reorder the terms:
-1 + 7 + 3x + -1x = 0

Combine like terms: -1 + 7 = 6
6 + 3x + -1x = 0

Combine like terms: 3x + -1x = 2x
6 + 2x = 0

Solving
6 + 2x = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 0 + -6

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

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

Divide each side by '2'.
x = -3

Simplifying
x = -3

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