(8+3x)(2x+4)=10x-36+6x^2

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Solution for (8+3x)(2x+4)=10x-36+6x^2 equation: 


Simplifying
(8 + 3x)(2x + 4) = 10x + -36 + 6x2

Reorder the terms:
(8 + 3x)(4 + 2x) = 10x + -36 + 6x2

Multiply (8 + 3x) * (4 + 2x)
(8(4 + 2x) + 3x * (4 + 2x)) = 10x + -36 + 6x2
((4 * 8 + 2x * 8) + 3x * (4 + 2x)) = 10x + -36 + 6x2
((32 + 16x) + 3x * (4 + 2x)) = 10x + -36 + 6x2
(32 + 16x + (4 * 3x + 2x * 3x)) = 10x + -36 + 6x2
(32 + 16x + (12x + 6x2)) = 10x + -36 + 6x2

Combine like terms: 16x + 12x = 28x
(32 + 28x + 6x2) = 10x + -36 + 6x2

Reorder the terms:
32 + 28x + 6x2 = -36 + 10x + 6x2

Add '-6x2' to each side of the equation.
32 + 28x + 6x2 + -6x2 = -36 + 10x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
32 + 28x + 0 = -36 + 10x + 6x2 + -6x2
32 + 28x = -36 + 10x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
32 + 28x = -36 + 10x + 0
32 + 28x = -36 + 10x

Solving
32 + 28x = -36 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
32 + 28x + -10x = -36 + 10x + -10x

Combine like terms: 28x + -10x = 18x
32 + 18x = -36 + 10x + -10x

Combine like terms: 10x + -10x = 0
32 + 18x = -36 + 0
32 + 18x = -36

Add '-32' to each side of the equation.
32 + -32 + 18x = -36 + -32

Combine like terms: 32 + -32 = 0
0 + 18x = -36 + -32
18x = -36 + -32

Combine like terms: -36 + -32 = -68
18x = -68

Divide each side by '18'.
x = -3.777777778

Simplifying
x = -3.777777778

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