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

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


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

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

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

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

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

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

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

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

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

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

Simplifying
x = -3

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