5(4x-8)=5(2x-2)

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Solution for 5(4x-8)=5(2x-2) equation:


Simplifying
5(4x + -8) = 5(2x + -2)

Reorder the terms:
5(-8 + 4x) = 5(2x + -2)
(-8 * 5 + 4x * 5) = 5(2x + -2)
(-40 + 20x) = 5(2x + -2)

Reorder the terms:
-40 + 20x = 5(-2 + 2x)
-40 + 20x = (-2 * 5 + 2x * 5)
-40 + 20x = (-10 + 10x)

Solving
-40 + 20x = -10 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-40 + 20x + -10x = -10 + 10x + -10x

Combine like terms: 20x + -10x = 10x
-40 + 10x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
-40 + 10x = -10 + 0
-40 + 10x = -10

Add '40' to each side of the equation.
-40 + 40 + 10x = -10 + 40

Combine like terms: -40 + 40 = 0
0 + 10x = -10 + 40
10x = -10 + 40

Combine like terms: -10 + 40 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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