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

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


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

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

Add '-3x2' to each side of the equation.
3x + 3x2 + -3x2 = 2 + 5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
3x + 0 = 2 + 5x + 3x2 + -3x2
3x = 2 + 5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
3x = 2 + 5x + 0
3x = 2 + 5x

Solving
3x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3x + -5x = 2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-2x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2x = 2 + 0
-2x = 2

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

Simplifying
x = -1

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