3x-4(8x+2)=(5x+2)(3x+4)-15x^2

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Solution for 3x-4(8x+2)=(5x+2)(3x+4)-15x^2 equation: 


Simplifying
3x + -4(8x + 2) = (5x + 2)(3x + 4) + -15x2

Reorder the terms:
3x + -4(2 + 8x) = (5x + 2)(3x + 4) + -15x2
3x + (2 * -4 + 8x * -4) = (5x + 2)(3x + 4) + -15x2
3x + (-8 + -32x) = (5x + 2)(3x + 4) + -15x2

Reorder the terms:
-8 + 3x + -32x = (5x + 2)(3x + 4) + -15x2

Combine like terms: 3x + -32x = -29x
-8 + -29x = (5x + 2)(3x + 4) + -15x2

Reorder the terms:
-8 + -29x = (2 + 5x)(3x + 4) + -15x2

Reorder the terms:
-8 + -29x = (2 + 5x)(4 + 3x) + -15x2

Multiply (2 + 5x) * (4 + 3x)
-8 + -29x = (2(4 + 3x) + 5x * (4 + 3x)) + -15x2
-8 + -29x = ((4 * 2 + 3x * 2) + 5x * (4 + 3x)) + -15x2
-8 + -29x = ((8 + 6x) + 5x * (4 + 3x)) + -15x2
-8 + -29x = (8 + 6x + (4 * 5x + 3x * 5x)) + -15x2
-8 + -29x = (8 + 6x + (20x + 15x2)) + -15x2

Combine like terms: 6x + 20x = 26x
-8 + -29x = (8 + 26x + 15x2) + -15x2

Combine like terms: 15x2 + -15x2 = 0
-8 + -29x = 8 + 26x + 0
-8 + -29x = 8 + 26x

Solving
-8 + -29x = 8 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
-8 + -29x + -26x = 8 + 26x + -26x

Combine like terms: -29x + -26x = -55x
-8 + -55x = 8 + 26x + -26x

Combine like terms: 26x + -26x = 0
-8 + -55x = 8 + 0
-8 + -55x = 8

Add '8' to each side of the equation.
-8 + 8 + -55x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + -55x = 8 + 8
-55x = 8 + 8

Combine like terms: 8 + 8 = 16
-55x = 16

Divide each side by '-55'.
x = -0.2909090909

Simplifying
x = -0.2909090909

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