12x(5x-3)=10x(-5+6x)-3(-17+x)

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Solution for 12x(5x-3)=10x(-5+6x)-3(-17+x) equation:


Simplifying
12x(5x + -3) = 10x(-5 + 6x) + -3(-17 + x)

Reorder the terms:
12x(-3 + 5x) = 10x(-5 + 6x) + -3(-17 + x)
(-3 * 12x + 5x * 12x) = 10x(-5 + 6x) + -3(-17 + x)
(-36x + 60x2) = 10x(-5 + 6x) + -3(-17 + x)
-36x + 60x2 = (-5 * 10x + 6x * 10x) + -3(-17 + x)
-36x + 60x2 = (-50x + 60x2) + -3(-17 + x)
-36x + 60x2 = -50x + 60x2 + (-17 * -3 + x * -3)
-36x + 60x2 = -50x + 60x2 + (51 + -3x)

Reorder the terms:
-36x + 60x2 = 51 + -50x + -3x + 60x2

Combine like terms: -50x + -3x = -53x
-36x + 60x2 = 51 + -53x + 60x2

Add '-60x2' to each side of the equation.
-36x + 60x2 + -60x2 = 51 + -53x + 60x2 + -60x2

Combine like terms: 60x2 + -60x2 = 0
-36x + 0 = 51 + -53x + 60x2 + -60x2
-36x = 51 + -53x + 60x2 + -60x2

Combine like terms: 60x2 + -60x2 = 0
-36x = 51 + -53x + 0
-36x = 51 + -53x

Solving
-36x = 51 + -53x

Solving for variable 'x'.

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

Add '53x' to each side of the equation.
-36x + 53x = 51 + -53x + 53x

Combine like terms: -36x + 53x = 17x
17x = 51 + -53x + 53x

Combine like terms: -53x + 53x = 0
17x = 51 + 0
17x = 51

Divide each side by '17'.
x = 3

Simplifying
x = 3

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