7=5-(x-5)

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


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

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

Combine like terms: 5 + 5 = 10
7 = 10 + -1x

Solving
7 = 10 + -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.
7 + x = 10 + -1x + x

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

Add '-7' to each side of the equation.
7 + -7 + x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + x = 10 + -7
x = 10 + -7

Combine like terms: 10 + -7 = 3
x = 3

Simplifying
x = 3

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