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

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


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

Reorder the terms:
2(-5 + x) = 4(2 + -2x)
(-5 * 2 + x * 2) = 4(2 + -2x)
(-10 + 2x) = 4(2 + -2x)
-10 + 2x = (2 * 4 + -2x * 4)
-10 + 2x = (8 + -8x)

Solving
-10 + 2x = 8 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-10 + 2x + 8x = 8 + -8x + 8x

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

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

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

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

Combine like terms: 8 + 10 = 18
10x = 18

Divide each side by '10'.
x = 1.8

Simplifying
x = 1.8

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