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

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


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

Multiply x * x
(X + -1x2) + -1(2x * x + x + -1) = 5 + 2x + -3x * x

Remove parenthesis around (X + -1x2)
X + -1x2 + -1(2x * x + x + -1) = 5 + 2x + -3x * x

Multiply x * x
X + -1x2 + -1(2x2 + x + -1) = 5 + 2x + -3x * x

Reorder the terms:
X + -1x2 + -1(-1 + x + 2x2) = 5 + 2x + -3x * x
X + -1x2 + (-1 * -1 + x * -1 + 2x2 * -1) = 5 + 2x + -3x * x
X + -1x2 + (1 + -1x + -2x2) = 5 + 2x + -3x * x

Reorder the terms:
1 + X + -1x + -1x2 + -2x2 = 5 + 2x + -3x * x

Combine like terms: -1x2 + -2x2 = -3x2
1 + X + -1x + -3x2 = 5 + 2x + -3x * x

Multiply x * x
1 + X + -1x + -3x2 = 5 + 2x + -3x2

Add '3x2' to each side of the equation.
1 + X + -1x + -3x2 + 3x2 = 5 + 2x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
1 + X + -1x + 0 = 5 + 2x + -3x2 + 3x2
1 + X + -1x = 5 + 2x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
1 + X + -1x = 5 + 2x + 0
1 + X + -1x = 5 + 2x

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

Solving for variable 'X'.

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

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

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

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

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

Add 'x' to each side of the equation.
X + -1x + x = 4 + 2x + x

Combine like terms: -1x + x = 0
X + 0 = 4 + 2x + x
X = 4 + 2x + x

Combine like terms: 2x + x = 3x
X = 4 + 3x

Simplifying
X = 4 + 3x

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