(x+6)(x+4)-(x-2)(x+1)=30

Solution for (x+6)(x+4)-(x-2)(x+1)=30 equation:

Simplifying
(x + 6)(x + 4) + -1(x + -2)(x + 1) = 30

Reorder the terms:
(6 + x)(x + 4) + -1(x + -2)(x + 1) = 30

Reorder the terms:
(6 + x)(4 + x) + -1(x + -2)(x + 1) = 30

Multiply (6 + x) * (4 + x)
(6(4 + x) + x(4 + x)) + -1(x + -2)(x + 1) = 30
((4 * 6 + x * 6) + x(4 + x)) + -1(x + -2)(x + 1) = 30
((24 + 6x) + x(4 + x)) + -1(x + -2)(x + 1) = 30
(24 + 6x + (4 * x + x * x)) + -1(x + -2)(x + 1) = 30
(24 + 6x + (4x + x2)) + -1(x + -2)(x + 1) = 30

Combine like terms: 6x + 4x = 10x
(24 + 10x + x2) + -1(x + -2)(x + 1) = 30

Reorder the terms:
24 + 10x + x2 + -1(-2 + x)(x + 1) = 30

Reorder the terms:
24 + 10x + x2 + -1(-2 + x)(1 + x) = 30

Multiply (-2 + x) * (1 + x)
24 + 10x + x2 + -1(-2(1 + x) + x(1 + x)) = 30
24 + 10x + x2 + -1((1 * -2 + x * -2) + x(1 + x)) = 30
24 + 10x + x2 + -1((-2 + -2x) + x(1 + x)) = 30
24 + 10x + x2 + -1(-2 + -2x + (1 * x + x * x)) = 30
24 + 10x + x2 + -1(-2 + -2x + (1x + x2)) = 30

Combine like terms: -2x + 1x = -1x
24 + 10x + x2 + -1(-2 + -1x + x2) = 30
24 + 10x + x2 + (-2 * -1 + -1x * -1 + x2 * -1) = 30
24 + 10x + x2 + (2 + 1x + -1x2) = 30

Reorder the terms:
24 + 2 + 10x + 1x + x2 + -1x2 = 30

Combine like terms: 24 + 2 = 26
26 + 10x + 1x + x2 + -1x2 = 30

Combine like terms: 10x + 1x = 11x
26 + 11x + x2 + -1x2 = 30

Combine like terms: x2 + -1x2 = 0
26 + 11x + 0 = 30
26 + 11x = 30

Solving
26 + 11x = 30

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 11x = 30 + -26

Combine like terms: 26 + -26 = 0
0 + 11x = 30 + -26
11x = 30 + -26

Combine like terms: 30 + -26 = 4
11x = 4

Divide each side by '11'.
x = 0.3636363636

Simplifying
x = 0.3636363636