x-5(x-5(x-5(x+5)))=49

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Solution for x-5(x-5(x-5(x+5)))=49 equation: 


Simplifying
x + -5(x + -5(x + -5(x + 5))) = 49

Reorder the terms:
x + -5(x + -5(x + -5(5 + x))) = 49
x + -5(x + -5(x + (5 * -5 + x * -5))) = 49
x + -5(x + -5(x + (-25 + -5x))) = 49

Reorder the terms:
x + -5(x + -5(-25 + x + -5x)) = 49

Combine like terms: x + -5x = -4x
x + -5(x + -5(-25 + -4x)) = 49
x + -5(x + (-25 * -5 + -4x * -5)) = 49
x + -5(x + (125 + 20x)) = 49

Reorder the terms:
x + -5(125 + x + 20x) = 49

Combine like terms: x + 20x = 21x
x + -5(125 + 21x) = 49
x + (125 * -5 + 21x * -5) = 49
x + (-625 + -105x) = 49

Reorder the terms:
-625 + x + -105x = 49

Combine like terms: x + -105x = -104x
-625 + -104x = 49

Solving
-625 + -104x = 49

Solving for variable 'x'.

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

Add '625' to each side of the equation.
-625 + 625 + -104x = 49 + 625

Combine like terms: -625 + 625 = 0
0 + -104x = 49 + 625
-104x = 49 + 625

Combine like terms: 49 + 625 = 674
-104x = 674

Divide each side by '-104'.
x = -6.480769231

Simplifying
x = -6.480769231

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