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

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


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

Reorder the terms:
5(-3 + x) = 25(x + -5)
(-3 * 5 + x * 5) = 25(x + -5)
(-15 + 5x) = 25(x + -5)

Reorder the terms:
-15 + 5x = 25(-5 + x)
-15 + 5x = (-5 * 25 + x * 25)
-15 + 5x = (-125 + 25x)

Solving
-15 + 5x = -125 + 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.
-15 + 5x + -25x = -125 + 25x + -25x

Combine like terms: 5x + -25x = -20x
-15 + -20x = -125 + 25x + -25x

Combine like terms: 25x + -25x = 0
-15 + -20x = -125 + 0
-15 + -20x = -125

Add '15' to each side of the equation.
-15 + 15 + -20x = -125 + 15

Combine like terms: -15 + 15 = 0
0 + -20x = -125 + 15
-20x = -125 + 15

Combine like terms: -125 + 15 = -110
-20x = -110

Divide each side by '-20'.
x = 5.5

Simplifying
x = 5.5

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