3x+7=x-1

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


Simplifying
3x + 7 = x + -1

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

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

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

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

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

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

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

Combine like terms: -1 + -7 = -8
2x = -8

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

Simplifying
x = -4

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