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

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


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

Reorder the terms:
5(-4 + 2x) = 2(x + -2)
(-4 * 5 + 2x * 5) = 2(x + -2)
(-20 + 10x) = 2(x + -2)

Reorder the terms:
-20 + 10x = 2(-2 + x)
-20 + 10x = (-2 * 2 + x * 2)
-20 + 10x = (-4 + 2x)

Solving
-20 + 10x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 10x + -2x = -4 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-20 + 8x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 8x = -4 + 0
-20 + 8x = -4

Add '20' to each side of the equation.
-20 + 20 + 8x = -4 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = -4 + 20
8x = -4 + 20

Combine like terms: -4 + 20 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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