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

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


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

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

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

Reorder the terms:
2x + 6x2 = -2 + 3x + 6x2

Add '-6x2' to each side of the equation.
2x + 6x2 + -6x2 = -2 + 3x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2x + 0 = -2 + 3x + 6x2 + -6x2
2x = -2 + 3x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2x = -2 + 3x + 0
2x = -2 + 3x

Solving
2x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2x + -3x = -2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-1x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1x = -2 + 0
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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