-x-5(-x-4)=-(3x-1)

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Solution for -x-5(-x-4)=-(3x-1) equation:


Simplifying
-1x + -5(-1x + -4) = -1(3x + -1)

Reorder the terms:
-1x + -5(-4 + -1x) = -1(3x + -1)
-1x + (-4 * -5 + -1x * -5) = -1(3x + -1)
-1x + (20 + 5x) = -1(3x + -1)

Reorder the terms:
20 + -1x + 5x = -1(3x + -1)

Combine like terms: -1x + 5x = 4x
20 + 4x = -1(3x + -1)

Reorder the terms:
20 + 4x = -1(-1 + 3x)
20 + 4x = (-1 * -1 + 3x * -1)
20 + 4x = (1 + -3x)

Solving
20 + 4x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
20 + 4x + 3x = 1 + -3x + 3x

Combine like terms: 4x + 3x = 7x
20 + 7x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + 7x = 1 + 0
20 + 7x = 1

Add '-20' to each side of the equation.
20 + -20 + 7x = 1 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 1 + -20
7x = 1 + -20

Combine like terms: 1 + -20 = -19
7x = -19

Divide each side by '7'.
x = -2.714285714

Simplifying
x = -2.714285714

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