(3X+4)(4X-3)=(6X-4)(2X-5)

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Solution for (3X+4)(4X-3)=(6X-4)(2X-5) equation: 


Simplifying
(3X + 4)(4X + -3) = (6X + -4)(2X + -5)

Reorder the terms:
(4 + 3X)(4X + -3) = (6X + -4)(2X + -5)

Reorder the terms:
(4 + 3X)(-3 + 4X) = (6X + -4)(2X + -5)

Multiply (4 + 3X) * (-3 + 4X)
(4(-3 + 4X) + 3X * (-3 + 4X)) = (6X + -4)(2X + -5)
((-3 * 4 + 4X * 4) + 3X * (-3 + 4X)) = (6X + -4)(2X + -5)
((-12 + 16X) + 3X * (-3 + 4X)) = (6X + -4)(2X + -5)
(-12 + 16X + (-3 * 3X + 4X * 3X)) = (6X + -4)(2X + -5)
(-12 + 16X + (-9X + 12X2)) = (6X + -4)(2X + -5)

Combine like terms: 16X + -9X = 7X
(-12 + 7X + 12X2) = (6X + -4)(2X + -5)

Reorder the terms:
-12 + 7X + 12X2 = (-4 + 6X)(2X + -5)

Reorder the terms:
-12 + 7X + 12X2 = (-4 + 6X)(-5 + 2X)

Multiply (-4 + 6X) * (-5 + 2X)
-12 + 7X + 12X2 = (-4(-5 + 2X) + 6X * (-5 + 2X))
-12 + 7X + 12X2 = ((-5 * -4 + 2X * -4) + 6X * (-5 + 2X))
-12 + 7X + 12X2 = ((20 + -8X) + 6X * (-5 + 2X))
-12 + 7X + 12X2 = (20 + -8X + (-5 * 6X + 2X * 6X))
-12 + 7X + 12X2 = (20 + -8X + (-30X + 12X2))

Combine like terms: -8X + -30X = -38X
-12 + 7X + 12X2 = (20 + -38X + 12X2)

Add '-12X2' to each side of the equation.
-12 + 7X + 12X2 + -12X2 = 20 + -38X + 12X2 + -12X2

Combine like terms: 12X2 + -12X2 = 0
-12 + 7X + 0 = 20 + -38X + 12X2 + -12X2
-12 + 7X = 20 + -38X + 12X2 + -12X2

Combine like terms: 12X2 + -12X2 = 0
-12 + 7X = 20 + -38X + 0
-12 + 7X = 20 + -38X

Solving
-12 + 7X = 20 + -38X

Solving for variable 'X'.

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

Add '38X' to each side of the equation.
-12 + 7X + 38X = 20 + -38X + 38X

Combine like terms: 7X + 38X = 45X
-12 + 45X = 20 + -38X + 38X

Combine like terms: -38X + 38X = 0
-12 + 45X = 20 + 0
-12 + 45X = 20

Add '12' to each side of the equation.
-12 + 12 + 45X = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 45X = 20 + 12
45X = 20 + 12

Combine like terms: 20 + 12 = 32
45X = 32

Divide each side by '45'.
X = 0.7111111111

Simplifying
X = 0.7111111111

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