3x(x-2)=3(x^2+5x-1)

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Solution for 3x(x-2)=3(x^2+5x-1) equation: 


Simplifying
3x(x + -2) = 3(x2 + 5x + -1)

Reorder the terms:
3x(-2 + x) = 3(x2 + 5x + -1)
(-2 * 3x + x * 3x) = 3(x2 + 5x + -1)
(-6x + 3x2) = 3(x2 + 5x + -1)

Reorder the terms:
-6x + 3x2 = 3(-1 + 5x + x2)
-6x + 3x2 = (-1 * 3 + 5x * 3 + x2 * 3)
-6x + 3x2 = (-3 + 15x + 3x2)

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

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

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

Solving
-6x = -3 + 15x

Solving for variable 'x'.

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

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

Combine like terms: -6x + -15x = -21x
-21x = -3 + 15x + -15x

Combine like terms: 15x + -15x = 0
-21x = -3 + 0
-21x = -3

Divide each side by '-21'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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