x+2=7x-2

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


Simplifying
x + 2 = 7x + -2

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

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

Solving
2 + x = -2 + 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.
2 + x + -7x = -2 + 7x + -7x

Combine like terms: x + -7x = -6x
2 + -6x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -6x = -2 + 0
2 + -6x = -2

Add '-2' to each side of the equation.
2 + -2 + -6x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -2 + -2
-6x = -2 + -2

Combine like terms: -2 + -2 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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