(x-4)(x+6)+8=x(x+1)-13

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Solution for (x-4)(x+6)+8=x(x+1)-13 equation: 


Simplifying
(x + -4)(x + 6) + 8 = x(x + 1) + -13

Reorder the terms:
(-4 + x)(x + 6) + 8 = x(x + 1) + -13

Reorder the terms:
(-4 + x)(6 + x) + 8 = x(x + 1) + -13

Multiply (-4 + x) * (6 + x)
(-4(6 + x) + x(6 + x)) + 8 = x(x + 1) + -13
((6 * -4 + x * -4) + x(6 + x)) + 8 = x(x + 1) + -13
((-24 + -4x) + x(6 + x)) + 8 = x(x + 1) + -13
(-24 + -4x + (6 * x + x * x)) + 8 = x(x + 1) + -13
(-24 + -4x + (6x + x2)) + 8 = x(x + 1) + -13

Combine like terms: -4x + 6x = 2x
(-24 + 2x + x2) + 8 = x(x + 1) + -13

Reorder the terms:
-24 + 8 + 2x + x2 = x(x + 1) + -13

Combine like terms: -24 + 8 = -16
-16 + 2x + x2 = x(x + 1) + -13

Reorder the terms:
-16 + 2x + x2 = x(1 + x) + -13
-16 + 2x + x2 = (1 * x + x * x) + -13
-16 + 2x + x2 = (1x + x2) + -13

Reorder the terms:
-16 + 2x + x2 = -13 + 1x + x2

Add '-1x2' to each side of the equation.
-16 + 2x + x2 + -1x2 = -13 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 2x + 0 = -13 + 1x + x2 + -1x2
-16 + 2x = -13 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 2x = -13 + 1x + 0
-16 + 2x = -13 + 1x

Solving
-16 + 2x = -13 + 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.
-16 + 2x + -1x = -13 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-16 + 1x = -13 + 1x + -1x

Combine like terms: 1x + -1x = 0
-16 + 1x = -13 + 0
-16 + 1x = -13

Add '16' to each side of the equation.
-16 + 16 + 1x = -13 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = -13 + 16
1x = -13 + 16

Combine like terms: -13 + 16 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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