25(x+3)=5(x-1)

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Solution for 25(x+3)=5(x-1) equation:


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

Reorder the terms:
25(3 + x) = 5(x + -1)
(3 * 25 + x * 25) = 5(x + -1)
(75 + 25x) = 5(x + -1)

Reorder the terms:
75 + 25x = 5(-1 + x)
75 + 25x = (-1 * 5 + x * 5)
75 + 25x = (-5 + 5x)

Solving
75 + 25x = -5 + 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.
75 + 25x + -5x = -5 + 5x + -5x

Combine like terms: 25x + -5x = 20x
75 + 20x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
75 + 20x = -5 + 0
75 + 20x = -5

Add '-75' to each side of the equation.
75 + -75 + 20x = -5 + -75

Combine like terms: 75 + -75 = 0
0 + 20x = -5 + -75
20x = -5 + -75

Combine like terms: -5 + -75 = -80
20x = -80

Divide each side by '20'.
x = -4

Simplifying
x = -4

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