4(2-x)-(2-2x)=1

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Solution for 4(2-x)-(2-2x)=1 equation: 


Simplifying
4(2 + -1x) + -1(2 + -2x) = 1
(2 * 4 + -1x * 4) + -1(2 + -2x) = 1
(8 + -4x) + -1(2 + -2x) = 1
8 + -4x + (2 * -1 + -2x * -1) = 1
8 + -4x + (-2 + 2x) = 1

Reorder the terms:
8 + -2 + -4x + 2x = 1

Combine like terms: 8 + -2 = 6
6 + -4x + 2x = 1

Combine like terms: -4x + 2x = -2x
6 + -2x = 1

Solving
6 + -2x = 1

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -2x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 1 + -6
-2x = 1 + -6

Combine like terms: 1 + -6 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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