-(x+3)(x-4)+(x-1)(x+1)=10

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Solution for -(x+3)(x-4)+(x-1)(x+1)=10 equation: 


Simplifying
-1(x + 3)(x + -4) + (x + -1)(x + 1) = 10

Reorder the terms:
-1(3 + x)(x + -4) + (x + -1)(x + 1) = 10

Reorder the terms:
-1(3 + x)(-4 + x) + (x + -1)(x + 1) = 10

Multiply (3 + x) * (-4 + x)
-1(3(-4 + x) + x(-4 + x)) + (x + -1)(x + 1) = 10
-1((-4 * 3 + x * 3) + x(-4 + x)) + (x + -1)(x + 1) = 10
-1((-12 + 3x) + x(-4 + x)) + (x + -1)(x + 1) = 10
-1(-12 + 3x + (-4 * x + x * x)) + (x + -1)(x + 1) = 10
-1(-12 + 3x + (-4x + x2)) + (x + -1)(x + 1) = 10

Combine like terms: 3x + -4x = -1x
-1(-12 + -1x + x2) + (x + -1)(x + 1) = 10
(-12 * -1 + -1x * -1 + x2 * -1) + (x + -1)(x + 1) = 10
(12 + 1x + -1x2) + (x + -1)(x + 1) = 10

Reorder the terms:
12 + 1x + -1x2 + (-1 + x)(x + 1) = 10

Reorder the terms:
12 + 1x + -1x2 + (-1 + x)(1 + x) = 10

Multiply (-1 + x) * (1 + x)
12 + 1x + -1x2 + (-1(1 + x) + x(1 + x)) = 10
12 + 1x + -1x2 + ((1 * -1 + x * -1) + x(1 + x)) = 10
12 + 1x + -1x2 + ((-1 + -1x) + x(1 + x)) = 10
12 + 1x + -1x2 + (-1 + -1x + (1 * x + x * x)) = 10
12 + 1x + -1x2 + (-1 + -1x + (1x + x2)) = 10

Combine like terms: -1x + 1x = 0
12 + 1x + -1x2 + (-1 + 0 + x2) = 10
12 + 1x + -1x2 + (-1 + x2) = 10

Reorder the terms:
12 + -1 + 1x + -1x2 + x2 = 10

Combine like terms: 12 + -1 = 11
11 + 1x + -1x2 + x2 = 10

Combine like terms: -1x2 + x2 = 0
11 + 1x + 0 = 10
11 + 1x = 10

Solving
11 + 1x = 10

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 1x = 10 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 10 + -11
1x = 10 + -11

Combine like terms: 10 + -11 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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