-3x+1=x-7

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


Simplifying
-3x + 1 = x + -7

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

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

Solving
1 + -3x = -7 + x

Solving for variable 'x'.

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

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

Combine like terms: -3x + -1x = -4x
1 + -4x = -7 + x + -1x

Combine like terms: x + -1x = 0
1 + -4x = -7 + 0
1 + -4x = -7

Add '-1' to each side of the equation.
1 + -1 + -4x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = -7 + -1
-4x = -7 + -1

Combine like terms: -7 + -1 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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