3x+7=-x+1

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


Simplifying
3x + 7 = -1x + 1

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

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

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

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

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

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

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

Combine like terms: 1 + -7 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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