x+7=7x-1

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


Simplifying
x + 7 = 7x + -1

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

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

Solving
7 + x = -1 + 7x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333

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