3x(x-5)=(x-2)(3x-3)

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


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

Reorder the terms:
3x(-5 + x) = (x + -2)(3x + -3)
(-5 * 3x + x * 3x) = (x + -2)(3x + -3)
(-15x + 3x2) = (x + -2)(3x + -3)

Reorder the terms:
-15x + 3x2 = (-2 + x)(3x + -3)

Reorder the terms:
-15x + 3x2 = (-2 + x)(-3 + 3x)

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

Combine like terms: -6x + -3x = -9x
-15x + 3x2 = (6 + -9x + 3x2)

Add '-3x2' to each side of the equation.
-15x + 3x2 + -3x2 = 6 + -9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-15x + 0 = 6 + -9x + 3x2 + -3x2
-15x = 6 + -9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-15x = 6 + -9x + 0
-15x = 6 + -9x

Solving
-15x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-15x + 9x = 6 + -9x + 9x

Combine like terms: -15x + 9x = -6x
-6x = 6 + -9x + 9x

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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