5[4x-4]=5[5x-2]

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Solution for 5[4x-4]=5[5x-2] equation:


Simplifying
5[4x + -4] = 5[5x + -2]

Reorder the terms:
5[-4 + 4x] = 5[5x + -2]
[-4 * 5 + 4x * 5] = 5[5x + -2]
[-20 + 20x] = 5[5x + -2]

Reorder the terms:
-20 + 20x = 5[-2 + 5x]
-20 + 20x = [-2 * 5 + 5x * 5]
-20 + 20x = [-10 + 25x]

Solving
-20 + 20x = -10 + 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.
-20 + 20x + -25x = -10 + 25x + -25x

Combine like terms: 20x + -25x = -5x
-20 + -5x = -10 + 25x + -25x

Combine like terms: 25x + -25x = 0
-20 + -5x = -10 + 0
-20 + -5x = -10

Add '20' to each side of the equation.
-20 + 20 + -5x = -10 + 20

Combine like terms: -20 + 20 = 0
0 + -5x = -10 + 20
-5x = -10 + 20

Combine like terms: -10 + 20 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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