(3x+5)(2x-3)=(x-1)(6x+5)

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Solution for (3x+5)(2x-3)=(x-1)(6x+5) equation: 


Simplifying
(3x + 5)(2x + -3) = (x + -1)(6x + 5)

Reorder the terms:
(5 + 3x)(2x + -3) = (x + -1)(6x + 5)

Reorder the terms:
(5 + 3x)(-3 + 2x) = (x + -1)(6x + 5)

Multiply (5 + 3x) * (-3 + 2x)
(5(-3 + 2x) + 3x * (-3 + 2x)) = (x + -1)(6x + 5)
((-3 * 5 + 2x * 5) + 3x * (-3 + 2x)) = (x + -1)(6x + 5)
((-15 + 10x) + 3x * (-3 + 2x)) = (x + -1)(6x + 5)
(-15 + 10x + (-3 * 3x + 2x * 3x)) = (x + -1)(6x + 5)
(-15 + 10x + (-9x + 6x2)) = (x + -1)(6x + 5)

Combine like terms: 10x + -9x = 1x
(-15 + 1x + 6x2) = (x + -1)(6x + 5)

Reorder the terms:
-15 + 1x + 6x2 = (-1 + x)(6x + 5)

Reorder the terms:
-15 + 1x + 6x2 = (-1 + x)(5 + 6x)

Multiply (-1 + x) * (5 + 6x)
-15 + 1x + 6x2 = (-1(5 + 6x) + x(5 + 6x))
-15 + 1x + 6x2 = ((5 * -1 + 6x * -1) + x(5 + 6x))
-15 + 1x + 6x2 = ((-5 + -6x) + x(5 + 6x))
-15 + 1x + 6x2 = (-5 + -6x + (5 * x + 6x * x))
-15 + 1x + 6x2 = (-5 + -6x + (5x + 6x2))

Combine like terms: -6x + 5x = -1x
-15 + 1x + 6x2 = (-5 + -1x + 6x2)

Add '-6x2' to each side of the equation.
-15 + 1x + 6x2 + -6x2 = -5 + -1x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-15 + 1x + 0 = -5 + -1x + 6x2 + -6x2
-15 + 1x = -5 + -1x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-15 + 1x = -5 + -1x + 0
-15 + 1x = -5 + -1x

Solving
-15 + 1x = -5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-15 + 1x + x = -5 + -1x + x

Combine like terms: 1x + x = 2x
-15 + 2x = -5 + -1x + x

Combine like terms: -1x + x = 0
-15 + 2x = -5 + 0
-15 + 2x = -5

Add '15' to each side of the equation.
-15 + 15 + 2x = -5 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -5 + 15
2x = -5 + 15

Combine like terms: -5 + 15 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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