-2(x-3)=-(x+5)

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Solution for -2(x-3)=-(x+5) equation:


Simplifying
-2(x + -3) = -1(x + 5)

Reorder the terms:
-2(-3 + x) = -1(x + 5)
(-3 * -2 + x * -2) = -1(x + 5)
(6 + -2x) = -1(x + 5)

Reorder the terms:
6 + -2x = -1(5 + x)
6 + -2x = (5 * -1 + x * -1)
6 + -2x = (-5 + -1x)

Solving
6 + -2x = -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.
6 + -2x + x = -5 + -1x + x

Combine like terms: -2x + x = -1x
6 + -1x = -5 + -1x + x

Combine like terms: -1x + x = 0
6 + -1x = -5 + 0
6 + -1x = -5

Add '-6' to each side of the equation.
6 + -6 + -1x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -5 + -6
-1x = -5 + -6

Combine like terms: -5 + -6 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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