25(x+1)=625(x-8)

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Solution for 25(x+1)=625(x-8) equation:


Simplifying
25(x + 1) = 625(x + -8)

Reorder the terms:
25(1 + x) = 625(x + -8)
(1 * 25 + x * 25) = 625(x + -8)
(25 + 25x) = 625(x + -8)

Reorder the terms:
25 + 25x = 625(-8 + x)
25 + 25x = (-8 * 625 + x * 625)
25 + 25x = (-5000 + 625x)

Solving
25 + 25x = -5000 + 625x

Solving for variable 'x'.

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

Add '-625x' to each side of the equation.
25 + 25x + -625x = -5000 + 625x + -625x

Combine like terms: 25x + -625x = -600x
25 + -600x = -5000 + 625x + -625x

Combine like terms: 625x + -625x = 0
25 + -600x = -5000 + 0
25 + -600x = -5000

Add '-25' to each side of the equation.
25 + -25 + -600x = -5000 + -25

Combine like terms: 25 + -25 = 0
0 + -600x = -5000 + -25
-600x = -5000 + -25

Combine like terms: -5000 + -25 = -5025
-600x = -5025

Divide each side by '-600'.
x = 8.375

Simplifying
x = 8.375

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