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

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


Simplifying
(2x + 3)(x + -5) = 2(x2 + -6x + 5)

Reorder the terms:
(3 + 2x)(x + -5) = 2(x2 + -6x + 5)

Reorder the terms:
(3 + 2x)(-5 + x) = 2(x2 + -6x + 5)

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

Combine like terms: 3x + -10x = -7x
(-15 + -7x + 2x2) = 2(x2 + -6x + 5)

Reorder the terms:
-15 + -7x + 2x2 = 2(5 + -6x + x2)
-15 + -7x + 2x2 = (5 * 2 + -6x * 2 + x2 * 2)
-15 + -7x + 2x2 = (10 + -12x + 2x2)

Add '-2x2' to each side of the equation.
-15 + -7x + 2x2 + -2x2 = 10 + -12x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-15 + -7x + 0 = 10 + -12x + 2x2 + -2x2
-15 + -7x = 10 + -12x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-15 + -7x = 10 + -12x + 0
-15 + -7x = 10 + -12x

Solving
-15 + -7x = 10 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-15 + -7x + 12x = 10 + -12x + 12x

Combine like terms: -7x + 12x = 5x
-15 + 5x = 10 + -12x + 12x

Combine like terms: -12x + 12x = 0
-15 + 5x = 10 + 0
-15 + 5x = 10

Add '15' to each side of the equation.
-15 + 15 + 5x = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 10 + 15
5x = 10 + 15

Combine like terms: 10 + 15 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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