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

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


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

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

Reorder the terms:
-8 + 20x = 2(-5 + 5x) + 2
-8 + 20x = (-5 * 2 + 5x * 2) + 2
-8 + 20x = (-10 + 10x) + 2

Reorder the terms:
-8 + 20x = -10 + 2 + 10x

Combine like terms: -10 + 2 = -8
-8 + 20x = -8 + 10x

Add '8' to each side of the equation.
-8 + 8 + 20x = -8 + 8 + 10x

Combine like terms: -8 + 8 = 0
0 + 20x = -8 + 8 + 10x
20x = -8 + 8 + 10x

Combine like terms: -8 + 8 = 0
20x = 0 + 10x
20x = 10x

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

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

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

Divide each side by '10'.
x = 0

Simplifying
x = 0

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