41=-5(-3x-1)-3x

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Solution for 41=-5(-3x-1)-3x equation:


Simplifying
41 = -5(-3x + -1) + -3x

Reorder the terms:
41 = -5(-1 + -3x) + -3x
41 = (-1 * -5 + -3x * -5) + -3x
41 = (5 + 15x) + -3x

Combine like terms: 15x + -3x = 12x
41 = 5 + 12x

Solving
41 = 5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
41 + -12x = 5 + 12x + -12x

Combine like terms: 12x + -12x = 0
41 + -12x = 5 + 0
41 + -12x = 5

Add '-41' to each side of the equation.
41 + -41 + -12x = 5 + -41

Combine like terms: 41 + -41 = 0
0 + -12x = 5 + -41
-12x = 5 + -41

Combine like terms: 5 + -41 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3

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