-3x+1=7-x

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Solution for -3x+1=7-x equation:


Simplifying
-3x + 1 = 7 + -1x

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

Solving
1 + -3x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + -3x + x = 7 + -1x + x

Combine like terms: -3x + x = -2x
1 + -2x = 7 + -1x + x

Combine like terms: -1x + x = 0
1 + -2x = 7 + 0
1 + -2x = 7

Add '-1' to each side of the equation.
1 + -1 + -2x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 7 + -1
-2x = 7 + -1

Combine like terms: 7 + -1 = 6
-2x = 6

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

Simplifying
x = -3

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