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

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


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

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

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

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

Reorder the terms:
2 + -1x = 5 + 2x

Solving
2 + -1x = 5 + 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 + -1x + -2x = 5 + 2x + -2x

Combine like terms: -1x + -2x = -3x
2 + -3x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -3x = 5 + 0
2 + -3x = 5

Add '-2' to each side of the equation.
2 + -2 + -3x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 5 + -2
-3x = 5 + -2

Combine like terms: 5 + -2 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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