-2x-41=-5(x+4)

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Solution for -2x-41=-5(x+4) equation:


Simplifying
-2x + -41 = -5(x + 4)

Reorder the terms:
-41 + -2x = -5(x + 4)

Reorder the terms:
-41 + -2x = -5(4 + x)
-41 + -2x = (4 * -5 + x * -5)
-41 + -2x = (-20 + -5x)

Solving
-41 + -2x = -20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-41 + -2x + 5x = -20 + -5x + 5x

Combine like terms: -2x + 5x = 3x
-41 + 3x = -20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-41 + 3x = -20 + 0
-41 + 3x = -20

Add '41' to each side of the equation.
-41 + 41 + 3x = -20 + 41

Combine like terms: -41 + 41 = 0
0 + 3x = -20 + 41
3x = -20 + 41

Combine like terms: -20 + 41 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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