-(x-3)=(x-1)+7

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Solution for -(x-3)=(x-1)+7 equation:


Simplifying
-1(x + -3) = (x + -1) + 7

Reorder the terms:
-1(-3 + x) = (x + -1) + 7
(-3 * -1 + x * -1) = (x + -1) + 7
(3 + -1x) = (x + -1) + 7

Reorder the terms:
3 + -1x = (-1 + x) + 7

Remove parenthesis around (-1 + x)
3 + -1x = -1 + x + 7

Reorder the terms:
3 + -1x = -1 + 7 + x

Combine like terms: -1 + 7 = 6
3 + -1x = 6 + x

Solving
3 + -1x = 6 + 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.
3 + -1x + -1x = 6 + x + -1x

Combine like terms: -1x + -1x = -2x
3 + -2x = 6 + x + -1x

Combine like terms: x + -1x = 0
3 + -2x = 6 + 0
3 + -2x = 6

Add '-3' to each side of the equation.
3 + -3 + -2x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 6 + -3
-2x = 6 + -3

Combine like terms: 6 + -3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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