-(x-4)=-2x+1

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Solution for -(x-4)=-2x+1 equation:


Simplifying
-1(x + -4) = -2x + 1

Reorder the terms:
-1(-4 + x) = -2x + 1
(-4 * -1 + x * -1) = -2x + 1
(4 + -1x) = -2x + 1

Reorder the terms:
4 + -1x = 1 + -2x

Solving
4 + -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.
4 + -1x + 2x = 1 + -2x + 2x

Combine like terms: -1x + 2x = 1x
4 + 1x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 1x = 1 + 0
4 + 1x = 1

Add '-4' to each side of the equation.
4 + -4 + 1x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 1 + -4
1x = 1 + -4

Combine like terms: 1 + -4 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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