(4x+1)(6x-15)=(3x+2)(8x-4)

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Solution for (4x+1)(6x-15)=(3x+2)(8x-4) equation: 


Simplifying
(4x + 1)(6x + -15) = (3x + 2)(8x + -4)

Reorder the terms:
(1 + 4x)(6x + -15) = (3x + 2)(8x + -4)

Reorder the terms:
(1 + 4x)(-15 + 6x) = (3x + 2)(8x + -4)

Multiply (1 + 4x) * (-15 + 6x)
(1(-15 + 6x) + 4x * (-15 + 6x)) = (3x + 2)(8x + -4)
((-15 * 1 + 6x * 1) + 4x * (-15 + 6x)) = (3x + 2)(8x + -4)
((-15 + 6x) + 4x * (-15 + 6x)) = (3x + 2)(8x + -4)
(-15 + 6x + (-15 * 4x + 6x * 4x)) = (3x + 2)(8x + -4)
(-15 + 6x + (-60x + 24x2)) = (3x + 2)(8x + -4)

Combine like terms: 6x + -60x = -54x
(-15 + -54x + 24x2) = (3x + 2)(8x + -4)

Reorder the terms:
-15 + -54x + 24x2 = (2 + 3x)(8x + -4)

Reorder the terms:
-15 + -54x + 24x2 = (2 + 3x)(-4 + 8x)

Multiply (2 + 3x) * (-4 + 8x)
-15 + -54x + 24x2 = (2(-4 + 8x) + 3x * (-4 + 8x))
-15 + -54x + 24x2 = ((-4 * 2 + 8x * 2) + 3x * (-4 + 8x))
-15 + -54x + 24x2 = ((-8 + 16x) + 3x * (-4 + 8x))
-15 + -54x + 24x2 = (-8 + 16x + (-4 * 3x + 8x * 3x))
-15 + -54x + 24x2 = (-8 + 16x + (-12x + 24x2))

Combine like terms: 16x + -12x = 4x
-15 + -54x + 24x2 = (-8 + 4x + 24x2)

Add '-24x2' to each side of the equation.
-15 + -54x + 24x2 + -24x2 = -8 + 4x + 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-15 + -54x + 0 = -8 + 4x + 24x2 + -24x2
-15 + -54x = -8 + 4x + 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-15 + -54x = -8 + 4x + 0
-15 + -54x = -8 + 4x

Solving
-15 + -54x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + -54x + -4x = -8 + 4x + -4x

Combine like terms: -54x + -4x = -58x
-15 + -58x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + -58x = -8 + 0
-15 + -58x = -8

Add '15' to each side of the equation.
-15 + 15 + -58x = -8 + 15

Combine like terms: -15 + 15 = 0
0 + -58x = -8 + 15
-58x = -8 + 15

Combine like terms: -8 + 15 = 7
-58x = 7

Divide each side by '-58'.
x = -0.1206896552

Simplifying
x = -0.1206896552

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