-x+5+(3x-2)+6=3(x+3)-2x

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Solution for -x+5+(3x-2)+6=3(x+3)-2x equation:


Simplifying
-1x + 5 + (3x + -2) + 6 = 3(x + 3) + -2x

Reorder the terms:
-1x + 5 + (-2 + 3x) + 6 = 3(x + 3) + -2x

Remove parenthesis around (-2 + 3x)
-1x + 5 + -2 + 3x + 6 = 3(x + 3) + -2x

Reorder the terms:
5 + -2 + 6 + -1x + 3x = 3(x + 3) + -2x

Combine like terms: 5 + -2 = 3
3 + 6 + -1x + 3x = 3(x + 3) + -2x

Combine like terms: 3 + 6 = 9
9 + -1x + 3x = 3(x + 3) + -2x

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

Reorder the terms:
9 + 2x = 3(3 + x) + -2x
9 + 2x = (3 * 3 + x * 3) + -2x
9 + 2x = (9 + 3x) + -2x

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 9 + -9 + 1x

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

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

Solving
2x = 1x

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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