x+8=(x+7)+(x+2)

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Solution for x+8=(x+7)+(x+2) equation:


Simplifying
x + 8 = (x + 7) + (x + 2)

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

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

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

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

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

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

Combine like terms: 7 + 2 = 9
8 + x = 9 + x + x

Combine like terms: x + x = 2x
8 + x = 9 + 2x

Solving
8 + x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + x + -2x = 9 + 2x + -2x

Combine like terms: x + -2x = -1x
8 + -1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -1x = 9 + 0
8 + -1x = 9

Add '-8' to each side of the equation.
8 + -8 + -1x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 9 + -8
-1x = 9 + -8

Combine like terms: 9 + -8 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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