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

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


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

Reorder the terms:
5x(-1 + 5x) + -1(5x + 3)(5x + -3) = x + -3
(-1 * 5x + 5x * 5x) + -1(5x + 3)(5x + -3) = x + -3
(-5x + 25x2) + -1(5x + 3)(5x + -3) = x + -3

Reorder the terms:
-5x + 25x2 + -1(3 + 5x)(5x + -3) = x + -3

Reorder the terms:
-5x + 25x2 + -1(3 + 5x)(-3 + 5x) = x + -3

Multiply (3 + 5x) * (-3 + 5x)
-5x + 25x2 + -1(3(-3 + 5x) + 5x * (-3 + 5x)) = x + -3
-5x + 25x2 + -1((-3 * 3 + 5x * 3) + 5x * (-3 + 5x)) = x + -3
-5x + 25x2 + -1((-9 + 15x) + 5x * (-3 + 5x)) = x + -3
-5x + 25x2 + -1(-9 + 15x + (-3 * 5x + 5x * 5x)) = x + -3
-5x + 25x2 + -1(-9 + 15x + (-15x + 25x2)) = x + -3

Combine like terms: 15x + -15x = 0
-5x + 25x2 + -1(-9 + 0 + 25x2) = x + -3
-5x + 25x2 + -1(-9 + 25x2) = x + -3
-5x + 25x2 + (-9 * -1 + 25x2 * -1) = x + -3
-5x + 25x2 + (9 + -25x2) = x + -3

Reorder the terms:
9 + -5x + 25x2 + -25x2 = x + -3

Combine like terms: 25x2 + -25x2 = 0
9 + -5x + 0 = x + -3
9 + -5x = x + -3

Reorder the terms:
9 + -5x = -3 + x

Solving
9 + -5x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + -5x + -1x = -3 + x + -1x

Combine like terms: -5x + -1x = -6x
9 + -6x = -3 + x + -1x

Combine like terms: x + -1x = 0
9 + -6x = -3 + 0
9 + -6x = -3

Add '-9' to each side of the equation.
9 + -9 + -6x = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -3 + -9
-6x = -3 + -9

Combine like terms: -3 + -9 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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