5-(x+7)=x+8

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Solution for 5-(x+7)=x+8 equation:


Simplifying
5 + -1(x + 7) = x + 8

Reorder the terms:
5 + -1(7 + x) = x + 8
5 + (7 * -1 + x * -1) = x + 8
5 + (-7 + -1x) = x + 8

Combine like terms: 5 + -7 = -2
-2 + -1x = x + 8

Reorder the terms:
-2 + -1x = 8 + x

Solving
-2 + -1x = 8 + 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.
-2 + -1x + -1x = 8 + x + -1x

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

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

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

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

Combine like terms: 8 + 2 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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