x+(x-1)=x+7

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


Simplifying
x + (x + -1) = x + 7

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

Remove parenthesis around (-1 + x)
x + -1 + x = x + 7

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

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

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

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

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

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

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

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

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

Divide each side by '1'.
x = 8

Simplifying
x = 8

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