2x-7=-x+1

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Solution for 2x-7=-x+1 equation:


Simplifying
2x + -7 = -1x + 1

Reorder the terms:
-7 + 2x = -1x + 1

Reorder the terms:
-7 + 2x = 1 + -1x

Solving
-7 + 2x = 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 + 2x + x = 1 + -1x + x

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

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

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

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

Combine like terms: 1 + 7 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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