5x(x+3)=x(5x-3)+36

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Solution for 5x(x+3)=x(5x-3)+36 equation: 


Simplifying
5x(x + 3) = x(5x + -3) + 36

Reorder the terms:
5x(3 + x) = x(5x + -3) + 36
(3 * 5x + x * 5x) = x(5x + -3) + 36
(15x + 5x2) = x(5x + -3) + 36

Reorder the terms:
15x + 5x2 = x(-3 + 5x) + 36
15x + 5x2 = (-3 * x + 5x * x) + 36
15x + 5x2 = (-3x + 5x2) + 36

Reorder the terms:
15x + 5x2 = 36 + -3x + 5x2

Add '-5x2' to each side of the equation.
15x + 5x2 + -5x2 = 36 + -3x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
15x + 0 = 36 + -3x + 5x2 + -5x2
15x = 36 + -3x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
15x = 36 + -3x + 0
15x = 36 + -3x

Solving
15x = 36 + -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.
15x + 3x = 36 + -3x + 3x

Combine like terms: 15x + 3x = 18x
18x = 36 + -3x + 3x

Combine like terms: -3x + 3x = 0
18x = 36 + 0
18x = 36

Divide each side by '18'.
x = 2

Simplifying
x = 2

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