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

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Solution for -2(-x+3)-(x-5)=-2x+1 equation:


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

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

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

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

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

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

Reorder the terms:
-1 + 1x = 1 + -2x

Solving
-1 + 1x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-1 + 1x + 2x = 1 + -2x + 2x

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

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

Add '1' to each side of the equation.
-1 + 1 + 3x = 1 + 1

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

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

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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