5(2x-4)=2(x+10)

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Solution for 5(2x-4)=2(x+10) equation:


Simplifying
5(2x + -4) = 2(x + 10)

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

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

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

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

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

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

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

Combine like terms: 20 + 20 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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