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

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


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

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

Reorder the terms for easier multiplication:
x + -5(5 + x) = x + -5
x + (5 * -5 + x * -5) = x + -5
x + (-25 + -5x) = x + -5

Reorder the terms:
-25 + x + -5x = x + -5

Combine like terms: x + -5x = -4x
-25 + -4x = x + -5

Reorder the terms:
-25 + -4x = -5 + x

Solving
-25 + -4x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-25 + -4x + -1x = -5 + x + -1x

Combine like terms: -4x + -1x = -5x
-25 + -5x = -5 + x + -1x

Combine like terms: x + -1x = 0
-25 + -5x = -5 + 0
-25 + -5x = -5

Add '25' to each side of the equation.
-25 + 25 + -5x = -5 + 25

Combine like terms: -25 + 25 = 0
0 + -5x = -5 + 25
-5x = -5 + 25

Combine like terms: -5 + 25 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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