7x-7=(x-2)+7

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


Simplifying
7x + -7 = (x + -2) + 7

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

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

Remove parenthesis around (-2 + x)
-7 + 7x = -2 + x + 7

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

Combine like terms: -2 + 7 = 5
-7 + 7x = 5 + x

Solving
-7 + 7x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 7x + -1x = 5 + x + -1x

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

Combine like terms: x + -1x = 0
-7 + 6x = 5 + 0
-7 + 6x = 5

Add '7' to each side of the equation.
-7 + 7 + 6x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 5 + 7
6x = 5 + 7

Combine like terms: 5 + 7 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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