5(4x-4)=5(x+5)

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Solution for 5(4x-4)=5(x+5) equation:


Simplifying
5(4x + -4) = 5(x + 5)

Reorder the terms:
5(-4 + 4x) = 5(x + 5)
(-4 * 5 + 4x * 5) = 5(x + 5)
(-20 + 20x) = 5(x + 5)

Reorder the terms:
-20 + 20x = 5(5 + x)
-20 + 20x = (5 * 5 + x * 5)
-20 + 20x = (25 + 5x)

Solving
-20 + 20x = 25 + 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.
-20 + 20x + -5x = 25 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-20 + 15x = 25 + 0
-20 + 15x = 25

Add '20' to each side of the equation.
-20 + 20 + 15x = 25 + 20

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

Combine like terms: 25 + 20 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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