(x-2)*2-(3-x)*2=1

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Solution for (x-2)*2-(3-x)*2=1 equation: 


Simplifying
(x + -2) * 2 + -1(3 + -1x) * 2 = 1

Reorder the terms:
(-2 + x) * 2 + -1(3 + -1x) * 2 = 1

Reorder the terms for easier multiplication:
2(-2 + x) + -1(3 + -1x) * 2 = 1
(-2 * 2 + x * 2) + -1(3 + -1x) * 2 = 1
(-4 + 2x) + -1(3 + -1x) * 2 = 1

Reorder the terms for easier multiplication:
-4 + 2x + -1 * 2(3 + -1x) = 1

Multiply -1 * 2
-4 + 2x + -2(3 + -1x) = 1
-4 + 2x + (3 * -2 + -1x * -2) = 1
-4 + 2x + (-6 + 2x) = 1

Reorder the terms:
-4 + -6 + 2x + 2x = 1

Combine like terms: -4 + -6 = -10
-10 + 2x + 2x = 1

Combine like terms: 2x + 2x = 4x
-10 + 4x = 1

Solving
-10 + 4x = 1

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 1 + 10
4x = 1 + 10

Combine like terms: 1 + 10 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75

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