(4x-2)(3x+8)-(2x+4)(6x-4)=50

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Solution for (4x-2)(3x+8)-(2x+4)(6x-4)=50 equation: 


Simplifying
(4x + -2)(3x + 8) + -1(2x + 4)(6x + -4) = 50

Reorder the terms:
(-2 + 4x)(3x + 8) + -1(2x + 4)(6x + -4) = 50

Reorder the terms:
(-2 + 4x)(8 + 3x) + -1(2x + 4)(6x + -4) = 50

Multiply (-2 + 4x) * (8 + 3x)
(-2(8 + 3x) + 4x * (8 + 3x)) + -1(2x + 4)(6x + -4) = 50
((8 * -2 + 3x * -2) + 4x * (8 + 3x)) + -1(2x + 4)(6x + -4) = 50
((-16 + -6x) + 4x * (8 + 3x)) + -1(2x + 4)(6x + -4) = 50
(-16 + -6x + (8 * 4x + 3x * 4x)) + -1(2x + 4)(6x + -4) = 50
(-16 + -6x + (32x + 12x2)) + -1(2x + 4)(6x + -4) = 50

Combine like terms: -6x + 32x = 26x
(-16 + 26x + 12x2) + -1(2x + 4)(6x + -4) = 50

Reorder the terms:
-16 + 26x + 12x2 + -1(4 + 2x)(6x + -4) = 50

Reorder the terms:
-16 + 26x + 12x2 + -1(4 + 2x)(-4 + 6x) = 50

Multiply (4 + 2x) * (-4 + 6x)
-16 + 26x + 12x2 + -1(4(-4 + 6x) + 2x * (-4 + 6x)) = 50
-16 + 26x + 12x2 + -1((-4 * 4 + 6x * 4) + 2x * (-4 + 6x)) = 50
-16 + 26x + 12x2 + -1((-16 + 24x) + 2x * (-4 + 6x)) = 50
-16 + 26x + 12x2 + -1(-16 + 24x + (-4 * 2x + 6x * 2x)) = 50
-16 + 26x + 12x2 + -1(-16 + 24x + (-8x + 12x2)) = 50

Combine like terms: 24x + -8x = 16x
-16 + 26x + 12x2 + -1(-16 + 16x + 12x2) = 50
-16 + 26x + 12x2 + (-16 * -1 + 16x * -1 + 12x2 * -1) = 50
-16 + 26x + 12x2 + (16 + -16x + -12x2) = 50

Reorder the terms:
-16 + 16 + 26x + -16x + 12x2 + -12x2 = 50

Combine like terms: -16 + 16 = 0
0 + 26x + -16x + 12x2 + -12x2 = 50
26x + -16x + 12x2 + -12x2 = 50

Combine like terms: 26x + -16x = 10x
10x + 12x2 + -12x2 = 50

Combine like terms: 12x2 + -12x2 = 0
10x + 0 = 50
10x = 50

Solving
10x = 50

Solving for variable 'x'.

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

Divide each side by '10'.
x = 5

Simplifying
x = 5

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