10=10-(x+5)

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Solution for 10=10-(x+5) equation:


Simplifying
10 = 10 + -1(x + 5)

Reorder the terms:
10 = 10 + -1(5 + x)
10 = 10 + (5 * -1 + x * -1)
10 = 10 + (-5 + -1x)

Combine like terms: 10 + -5 = 5
10 = 5 + -1x

Solving
10 = 5 + -1x

Solving for variable 'x'.

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

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

Combine like terms: -1x + x = 0
10 + x = 5 + 0
10 + x = 5

Add '-10' to each side of the equation.
10 + -10 + x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + x = 5 + -10
x = 5 + -10

Combine like terms: 5 + -10 = -5
x = -5

Simplifying
x = -5

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