(2x-9)(x-5)=2x(x-1)+12

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Solution for (2x-9)(x-5)=2x(x-1)+12 equation: 


Simplifying
(2x + -9)(x + -5) = 2x(x + -1) + 12

Reorder the terms:
(-9 + 2x)(x + -5) = 2x(x + -1) + 12

Reorder the terms:
(-9 + 2x)(-5 + x) = 2x(x + -1) + 12

Multiply (-9 + 2x) * (-5 + x)
(-9(-5 + x) + 2x * (-5 + x)) = 2x(x + -1) + 12
((-5 * -9 + x * -9) + 2x * (-5 + x)) = 2x(x + -1) + 12
((45 + -9x) + 2x * (-5 + x)) = 2x(x + -1) + 12
(45 + -9x + (-5 * 2x + x * 2x)) = 2x(x + -1) + 12
(45 + -9x + (-10x + 2x2)) = 2x(x + -1) + 12

Combine like terms: -9x + -10x = -19x
(45 + -19x + 2x2) = 2x(x + -1) + 12

Reorder the terms:
45 + -19x + 2x2 = 2x(-1 + x) + 12
45 + -19x + 2x2 = (-1 * 2x + x * 2x) + 12
45 + -19x + 2x2 = (-2x + 2x2) + 12

Reorder the terms:
45 + -19x + 2x2 = 12 + -2x + 2x2

Add '-2x2' to each side of the equation.
45 + -19x + 2x2 + -2x2 = 12 + -2x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
45 + -19x + 0 = 12 + -2x + 2x2 + -2x2
45 + -19x = 12 + -2x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
45 + -19x = 12 + -2x + 0
45 + -19x = 12 + -2x

Solving
45 + -19x = 12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
45 + -19x + 2x = 12 + -2x + 2x

Combine like terms: -19x + 2x = -17x
45 + -17x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
45 + -17x = 12 + 0
45 + -17x = 12

Add '-45' to each side of the equation.
45 + -45 + -17x = 12 + -45

Combine like terms: 45 + -45 = 0
0 + -17x = 12 + -45
-17x = 12 + -45

Combine like terms: 12 + -45 = -33
-17x = -33

Divide each side by '-17'.
x = 1.941176471

Simplifying
x = 1.941176471

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