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

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


Simplifying
2x + -2(x + -1) = 2(x + -2) + 5

Reorder the terms:
2x + -2(-1 + x) = 2(x + -2) + 5
2x + (-1 * -2 + x * -2) = 2(x + -2) + 5
2x + (2 + -2x) = 2(x + -2) + 5

Reorder the terms:
2 + 2x + -2x = 2(x + -2) + 5

Combine like terms: 2x + -2x = 0
2 + 0 = 2(x + -2) + 5
2 = 2(x + -2) + 5

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

Reorder the terms:
2 = -4 + 5 + 2x

Combine like terms: -4 + 5 = 1
2 = 1 + 2x

Solving
2 = 1 + 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.
2 + -2x = 1 + 2x + -2x

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

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

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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