2(5-2x)=20-2(x-1)

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Solution for 2(5-2x)=20-2(x-1) equation: 


Simplifying
2(5 + -2x) = 20 + -2(x + -1)
(5 * 2 + -2x * 2) = 20 + -2(x + -1)
(10 + -4x) = 20 + -2(x + -1)

Reorder the terms:
10 + -4x = 20 + -2(-1 + x)
10 + -4x = 20 + (-1 * -2 + x * -2)
10 + -4x = 20 + (2 + -2x)

Combine like terms: 20 + 2 = 22
10 + -4x = 22 + -2x

Solving
10 + -4x = 22 + -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.
10 + -4x + 2x = 22 + -2x + 2x

Combine like terms: -4x + 2x = -2x
10 + -2x = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + -2x = 22 + 0
10 + -2x = 22

Add '-10' to each side of the equation.
10 + -10 + -2x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 22 + -10
-2x = 22 + -10

Combine like terms: 22 + -10 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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