5(x+7)=25(x-1)

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Solution for 5(x+7)=25(x-1) equation:


Simplifying
5(x + 7) = 25(x + -1)

Reorder the terms:
5(7 + x) = 25(x + -1)
(7 * 5 + x * 5) = 25(x + -1)
(35 + 5x) = 25(x + -1)

Reorder the terms:
35 + 5x = 25(-1 + x)
35 + 5x = (-1 * 25 + x * 25)
35 + 5x = (-25 + 25x)

Solving
35 + 5x = -25 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
35 + 5x + -25x = -25 + 25x + -25x

Combine like terms: 5x + -25x = -20x
35 + -20x = -25 + 25x + -25x

Combine like terms: 25x + -25x = 0
35 + -20x = -25 + 0
35 + -20x = -25

Add '-35' to each side of the equation.
35 + -35 + -20x = -25 + -35

Combine like terms: 35 + -35 = 0
0 + -20x = -25 + -35
-20x = -25 + -35

Combine like terms: -25 + -35 = -60
-20x = -60

Divide each side by '-20'.
x = 3

Simplifying
x = 3

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