(6x-5)(4x+3)=3x(8x+11)

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Solution for (6x-5)(4x+3)=3x(8x+11) equation: 


Simplifying
(6x + -5)(4x + 3) = 3x(8x + 11)

Reorder the terms:
(-5 + 6x)(4x + 3) = 3x(8x + 11)

Reorder the terms:
(-5 + 6x)(3 + 4x) = 3x(8x + 11)

Multiply (-5 + 6x) * (3 + 4x)
(-5(3 + 4x) + 6x * (3 + 4x)) = 3x(8x + 11)
((3 * -5 + 4x * -5) + 6x * (3 + 4x)) = 3x(8x + 11)
((-15 + -20x) + 6x * (3 + 4x)) = 3x(8x + 11)
(-15 + -20x + (3 * 6x + 4x * 6x)) = 3x(8x + 11)
(-15 + -20x + (18x + 24x2)) = 3x(8x + 11)

Combine like terms: -20x + 18x = -2x
(-15 + -2x + 24x2) = 3x(8x + 11)

Reorder the terms:
-15 + -2x + 24x2 = 3x(11 + 8x)
-15 + -2x + 24x2 = (11 * 3x + 8x * 3x)
-15 + -2x + 24x2 = (33x + 24x2)

Add '-24x2' to each side of the equation.
-15 + -2x + 24x2 + -24x2 = 33x + 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-15 + -2x + 0 = 33x + 24x2 + -24x2
-15 + -2x = 33x + 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-15 + -2x = 33x + 0
-15 + -2x = 33x

Solving
-15 + -2x = 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
-15 + -2x + -33x = 33x + -33x

Combine like terms: -2x + -33x = -35x
-15 + -35x = 33x + -33x

Combine like terms: 33x + -33x = 0
-15 + -35x = 0

Add '15' to each side of the equation.
-15 + 15 + -35x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -35x = 0 + 15
-35x = 0 + 15

Combine like terms: 0 + 15 = 15
-35x = 15

Divide each side by '-35'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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