1-2(x-3)+(-x+2)=0

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Solution for 1-2(x-3)+(-x+2)=0 equation:


Simplifying
1 + -2(x + -3) + (-1x + 2) = 0

Reorder the terms:
1 + -2(-3 + x) + (-1x + 2) = 0
1 + (-3 * -2 + x * -2) + (-1x + 2) = 0
1 + (6 + -2x) + (-1x + 2) = 0

Reorder the terms:
1 + 6 + -2x + (2 + -1x) = 0

Remove parenthesis around (2 + -1x)
1 + 6 + -2x + 2 + -1x = 0

Reorder the terms:
1 + 6 + 2 + -2x + -1x = 0

Combine like terms: 1 + 6 = 7
7 + 2 + -2x + -1x = 0

Combine like terms: 7 + 2 = 9
9 + -2x + -1x = 0

Combine like terms: -2x + -1x = -3x
9 + -3x = 0

Solving
9 + -3x = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -3x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 0 + -9
-3x = 0 + -9

Combine like terms: 0 + -9 = -9
-3x = -9

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

Simplifying
x = 3

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