109=-4(5x-1)-x

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Solution for 109=-4(5x-1)-x equation:


Simplifying
109 = -4(5x + -1) + -1x

Reorder the terms:
109 = -4(-1 + 5x) + -1x
109 = (-1 * -4 + 5x * -4) + -1x
109 = (4 + -20x) + -1x

Combine like terms: -20x + -1x = -21x
109 = 4 + -21x

Solving
109 = 4 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
109 + 21x = 4 + -21x + 21x

Combine like terms: -21x + 21x = 0
109 + 21x = 4 + 0
109 + 21x = 4

Add '-109' to each side of the equation.
109 + -109 + 21x = 4 + -109

Combine like terms: 109 + -109 = 0
0 + 21x = 4 + -109
21x = 4 + -109

Combine like terms: 4 + -109 = -105
21x = -105

Divide each side by '21'.
x = -5

Simplifying
x = -5

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