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

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


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

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

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

Multiply (-4 + 5x) * (3 + x)
(-4(3 + x) + 5x * (3 + x)) = (x + -2)(1 + -5x)
((3 * -4 + x * -4) + 5x * (3 + x)) = (x + -2)(1 + -5x)
((-12 + -4x) + 5x * (3 + x)) = (x + -2)(1 + -5x)
(-12 + -4x + (3 * 5x + x * 5x)) = (x + -2)(1 + -5x)
(-12 + -4x + (15x + 5x2)) = (x + -2)(1 + -5x)

Combine like terms: -4x + 15x = 11x
(-12 + 11x + 5x2) = (x + -2)(1 + -5x)

Reorder the terms:
-12 + 11x + 5x2 = (-2 + x)(1 + -5x)

Multiply (-2 + x) * (1 + -5x)
-12 + 11x + 5x2 = (-2(1 + -5x) + x(1 + -5x))
-12 + 11x + 5x2 = ((1 * -2 + -5x * -2) + x(1 + -5x))
-12 + 11x + 5x2 = ((-2 + 10x) + x(1 + -5x))
-12 + 11x + 5x2 = (-2 + 10x + (1 * x + -5x * x))
-12 + 11x + 5x2 = (-2 + 10x + (1x + -5x2))

Combine like terms: 10x + 1x = 11x
-12 + 11x + 5x2 = (-2 + 11x + -5x2)

Add '-11x' to each side of the equation.
-12 + 11x + -11x + 5x2 = -2 + 11x + -11x + -5x2

Combine like terms: 11x + -11x = 0
-12 + 0 + 5x2 = -2 + 11x + -11x + -5x2
-12 + 5x2 = -2 + 11x + -11x + -5x2

Combine like terms: 11x + -11x = 0
-12 + 5x2 = -2 + 0 + -5x2
-12 + 5x2 = -2 + -5x2

Solving
-12 + 5x2 = -2 + -5x2

Solving for variable 'x'.

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

Add '5x2' to each side of the equation.
-12 + 5x2 + 5x2 = -2 + -5x2 + 5x2

Combine like terms: 5x2 + 5x2 = 10x2
-12 + 10x2 = -2 + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-12 + 10x2 = -2 + 0
-12 + 10x2 = -2

Add '12' to each side of the equation.
-12 + 12 + 10x2 = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 10x2 = -2 + 12
10x2 = -2 + 12

Combine like terms: -2 + 12 = 10
10x2 = 10

Divide each side by '10'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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