5x-1=-x+7

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Solution for 5x-1=-x+7 equation:


Simplifying
5x + -1 = -1x + 7

Reorder the terms:
-1 + 5x = -1x + 7

Reorder the terms:
-1 + 5x = 7 + -1x

Solving
-1 + 5x = 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 + 5x + x = 7 + -1x + x

Combine like terms: 5x + x = 6x
-1 + 6x = 7 + -1x + x

Combine like terms: -1x + x = 0
-1 + 6x = 7 + 0
-1 + 6x = 7

Add '1' to each side of the equation.
-1 + 1 + 6x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = 7 + 1
6x = 7 + 1

Combine like terms: 7 + 1 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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