X+5(x-1)+1-(x^2+1)=x+10-(x^2+5)

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Solution for X+5(x-1)+1-(x^2+1)=x+10-(x^2+5) equation: 


Simplifying
X + 5(x + -1) + 1 + -1(x2 + 1) = x + 10 + -1(x2 + 5)

Reorder the terms:
X + 5(-1 + x) + 1 + -1(x2 + 1) = x + 10 + -1(x2 + 5)
X + (-1 * 5 + x * 5) + 1 + -1(x2 + 1) = x + 10 + -1(x2 + 5)
X + (-5 + 5x) + 1 + -1(x2 + 1) = x + 10 + -1(x2 + 5)

Reorder the terms:
X + -5 + 5x + 1 + -1(1 + x2) = x + 10 + -1(x2 + 5)
X + -5 + 5x + 1 + (1 * -1 + x2 * -1) = x + 10 + -1(x2 + 5)
X + -5 + 5x + 1 + (-1 + -1x2) = x + 10 + -1(x2 + 5)

Reorder the terms:
-5 + 1 + -1 + X + 5x + -1x2 = x + 10 + -1(x2 + 5)

Combine like terms: -5 + 1 = -4
-4 + -1 + X + 5x + -1x2 = x + 10 + -1(x2 + 5)

Combine like terms: -4 + -1 = -5
-5 + X + 5x + -1x2 = x + 10 + -1(x2 + 5)

Reorder the terms:
-5 + X + 5x + -1x2 = x + 10 + -1(5 + x2)
-5 + X + 5x + -1x2 = x + 10 + (5 * -1 + x2 * -1)
-5 + X + 5x + -1x2 = x + 10 + (-5 + -1x2)

Reorder the terms:
-5 + X + 5x + -1x2 = 10 + -5 + x + -1x2

Combine like terms: 10 + -5 = 5
-5 + X + 5x + -1x2 = 5 + x + -1x2

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

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

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

Solving
-5 + X + 5x = 5 + x

Solving for variable 'X'.

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

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

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

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

Combine like terms: 5 + 5 = 10
X + 5x = 10 + x

Add '-5x' to each side of the equation.
X + 5x + -5x = 10 + x + -5x

Combine like terms: 5x + -5x = 0
X + 0 = 10 + x + -5x
X = 10 + x + -5x

Combine like terms: x + -5x = -4x
X = 10 + -4x

Simplifying
X = 10 + -4x

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