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

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Solution for 3x-(6+x)(x-6)-5(1+x)=1-x^2 equation: 


Simplifying
3x + -1(6 + x)(x + -6) + -5(1 + x) = 1 + -1x2

Reorder the terms:
3x + -1(6 + x)(-6 + x) + -5(1 + x) = 1 + -1x2

Multiply (6 + x) * (-6 + x)
3x + -1(6(-6 + x) + x(-6 + x)) + -5(1 + x) = 1 + -1x2
3x + -1((-6 * 6 + x * 6) + x(-6 + x)) + -5(1 + x) = 1 + -1x2
3x + -1((-36 + 6x) + x(-6 + x)) + -5(1 + x) = 1 + -1x2
3x + -1(-36 + 6x + (-6 * x + x * x)) + -5(1 + x) = 1 + -1x2
3x + -1(-36 + 6x + (-6x + x2)) + -5(1 + x) = 1 + -1x2

Combine like terms: 6x + -6x = 0
3x + -1(-36 + 0 + x2) + -5(1 + x) = 1 + -1x2
3x + -1(-36 + x2) + -5(1 + x) = 1 + -1x2
3x + (-36 * -1 + x2 * -1) + -5(1 + x) = 1 + -1x2
3x + (36 + -1x2) + -5(1 + x) = 1 + -1x2
3x + 36 + -1x2 + (1 * -5 + x * -5) = 1 + -1x2
3x + 36 + -1x2 + (-5 + -5x) = 1 + -1x2

Reorder the terms:
36 + -5 + 3x + -5x + -1x2 = 1 + -1x2

Combine like terms: 36 + -5 = 31
31 + 3x + -5x + -1x2 = 1 + -1x2

Combine like terms: 3x + -5x = -2x
31 + -2x + -1x2 = 1 + -1x2

Add 'x2' to each side of the equation.
31 + -2x + -1x2 + x2 = 1 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
31 + -2x + 0 = 1 + -1x2 + x2
31 + -2x = 1 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
31 + -2x = 1 + 0
31 + -2x = 1

Solving
31 + -2x = 1

Solving for variable 'x'.

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

Add '-31' to each side of the equation.
31 + -31 + -2x = 1 + -31

Combine like terms: 31 + -31 = 0
0 + -2x = 1 + -31
-2x = 1 + -31

Combine like terms: 1 + -31 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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