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

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Solution for (3-x)+2(x-1)=(x-5)+2x equation:


Simplifying
(3 + -1x) + 2(x + -1) = (x + -5) + 2x

Remove parenthesis around (3 + -1x)
3 + -1x + 2(x + -1) = (x + -5) + 2x

Reorder the terms:
3 + -1x + 2(-1 + x) = (x + -5) + 2x
3 + -1x + (-1 * 2 + x * 2) = (x + -5) + 2x
3 + -1x + (-2 + 2x) = (x + -5) + 2x

Reorder the terms:
3 + -2 + -1x + 2x = (x + -5) + 2x

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

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

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

Remove parenthesis around (-5 + x)
1 + 1x = -5 + x + 2x

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

Solving
1 + 1x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 1x + -3x = -5 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
1 + -2x = -5 + 0
1 + -2x = -5

Add '-1' to each side of the equation.
1 + -1 + -2x = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -5 + -1
-2x = -5 + -1

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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