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

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


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

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

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

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

Combine like terms: -6x + 5x = -1x
(10 + -1x + -3x2) = (-3x + 1)(x + 3)

Reorder the terms:
10 + -1x + -3x2 = (1 + -3x)(x + 3)

Reorder the terms:
10 + -1x + -3x2 = (1 + -3x)(3 + x)

Multiply (1 + -3x) * (3 + x)
10 + -1x + -3x2 = (1(3 + x) + -3x * (3 + x))
10 + -1x + -3x2 = ((3 * 1 + x * 1) + -3x * (3 + x))
10 + -1x + -3x2 = ((3 + 1x) + -3x * (3 + x))
10 + -1x + -3x2 = (3 + 1x + (3 * -3x + x * -3x))
10 + -1x + -3x2 = (3 + 1x + (-9x + -3x2))

Combine like terms: 1x + -9x = -8x
10 + -1x + -3x2 = (3 + -8x + -3x2)

Add '3x2' to each side of the equation.
10 + -1x + -3x2 + 3x2 = 3 + -8x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
10 + -1x + 0 = 3 + -8x + -3x2 + 3x2
10 + -1x = 3 + -8x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
10 + -1x = 3 + -8x + 0
10 + -1x = 3 + -8x

Solving
10 + -1x = 3 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
10 + -1x + 8x = 3 + -8x + 8x

Combine like terms: -1x + 8x = 7x
10 + 7x = 3 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 7x = 3 + 0
10 + 7x = 3

Add '-10' to each side of the equation.
10 + -10 + 7x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 3 + -10
7x = 3 + -10

Combine like terms: 3 + -10 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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