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

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Solution for (-x)-1(x-7)=-(-x-5) equation:


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

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

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

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

Reorder the terms:
7 + -2x = -1(-5 + -1x)
7 + -2x = (-5 * -1 + -1x * -1)
7 + -2x = (5 + 1x)

Solving
7 + -2x = 5 + 1x

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.
7 + -2x + -1x = 5 + 1x + -1x

Combine like terms: -2x + -1x = -3x
7 + -3x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
7 + -3x = 5 + 0
7 + -3x = 5

Add '-7' to each side of the equation.
7 + -7 + -3x = 5 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 5 + -7
-3x = 5 + -7

Combine like terms: 5 + -7 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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