(3x+1)(X-3)+(X+2)(5x-4)=

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Solution for (3x+1)(X-3)+(X+2)(5x-4)= equation: 


Simplifying
(3x + 1)(X + -3) + (X + 2)(5x + -4) = 0

Reorder the terms:
(1 + 3x)(X + -3) + (X + 2)(5x + -4) = 0

Reorder the terms:
(1 + 3x)(-3 + X) + (X + 2)(5x + -4) = 0

Multiply (1 + 3x) * (-3 + X)
(1(-3 + X) + 3x * (-3 + X)) + (X + 2)(5x + -4) = 0
((-3 * 1 + X * 1) + 3x * (-3 + X)) + (X + 2)(5x + -4) = 0
((-3 + 1X) + 3x * (-3 + X)) + (X + 2)(5x + -4) = 0
(-3 + 1X + (-3 * 3x + X * 3x)) + (X + 2)(5x + -4) = 0
(-3 + 1X + (-9x + 3xX)) + (X + 2)(5x + -4) = 0
(-3 + 1X + -9x + 3xX) + (X + 2)(5x + -4) = 0

Reorder the terms:
-3 + 1X + -9x + 3xX + (2 + X)(5x + -4) = 0

Reorder the terms:
-3 + 1X + -9x + 3xX + (2 + X)(-4 + 5x) = 0

Multiply (2 + X) * (-4 + 5x)
-3 + 1X + -9x + 3xX + (2(-4 + 5x) + X(-4 + 5x)) = 0
-3 + 1X + -9x + 3xX + ((-4 * 2 + 5x * 2) + X(-4 + 5x)) = 0
-3 + 1X + -9x + 3xX + ((-8 + 10x) + X(-4 + 5x)) = 0
-3 + 1X + -9x + 3xX + (-8 + 10x + (-4 * X + 5x * X)) = 0
-3 + 1X + -9x + 3xX + (-8 + 10x + (-4X + 5xX)) = 0

Reorder the terms:
-3 + 1X + -9x + 3xX + (-8 + -4X + 10x + 5xX) = 0
-3 + 1X + -9x + 3xX + (-8 + -4X + 10x + 5xX) = 0

Reorder the terms:
-3 + -8 + 1X + -4X + -9x + 10x + 3xX + 5xX = 0

Combine like terms: -3 + -8 = -11
-11 + 1X + -4X + -9x + 10x + 3xX + 5xX = 0

Combine like terms: 1X + -4X = -3X
-11 + -3X + -9x + 10x + 3xX + 5xX = 0

Combine like terms: -9x + 10x = 1x
-11 + -3X + 1x + 3xX + 5xX = 0

Combine like terms: 3xX + 5xX = 8xX
-11 + -3X + 1x + 8xX = 0

Solving
-11 + -3X + 1x + 8xX = 0

Solving for variable 'X'.

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

Add '11' to each side of the equation.
-11 + -3X + 1x + 11 + 8xX = 0 + 11

Reorder the terms:
-11 + 11 + -3X + 1x + 8xX = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3X + 1x + 8xX = 0 + 11
-3X + 1x + 8xX = 0 + 11

Combine like terms: 0 + 11 = 11
-3X + 1x + 8xX = 11

Add '-1x' to each side of the equation.
-3X + 1x + -1x + 8xX = 11 + -1x

Combine like terms: 1x + -1x = 0
-3X + 0 + 8xX = 11 + -1x
-3X + 8xX = 11 + -1x

Reorder the terms:
-11 + -3X + x + 8xX = 11 + -1x + -11 + x

Reorder the terms:
-11 + -3X + x + 8xX = 11 + -11 + -1x + x

Combine like terms: 11 + -11 = 0
-11 + -3X + x + 8xX = 0 + -1x + x
-11 + -3X + x + 8xX = -1x + x

Combine like terms: -1x + x = 0
-11 + -3X + x + 8xX = 0

The solution to this equation could not be determined.

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