4x(x-5)=x(4x+6)-52

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Solution for 4x(x-5)=x(4x+6)-52 equation: 


Simplifying
4x(x + -5) = x(4x + 6) + -52

Reorder the terms:
4x(-5 + x) = x(4x + 6) + -52
(-5 * 4x + x * 4x) = x(4x + 6) + -52
(-20x + 4x2) = x(4x + 6) + -52

Reorder the terms:
-20x + 4x2 = x(6 + 4x) + -52
-20x + 4x2 = (6 * x + 4x * x) + -52
-20x + 4x2 = (6x + 4x2) + -52

Reorder the terms:
-20x + 4x2 = -52 + 6x + 4x2

Add '-4x2' to each side of the equation.
-20x + 4x2 + -4x2 = -52 + 6x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-20x + 0 = -52 + 6x + 4x2 + -4x2
-20x = -52 + 6x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-20x = -52 + 6x + 0
-20x = -52 + 6x

Solving
-20x = -52 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20x + -6x = -52 + 6x + -6x

Combine like terms: -20x + -6x = -26x
-26x = -52 + 6x + -6x

Combine like terms: 6x + -6x = 0
-26x = -52 + 0
-26x = -52

Divide each side by '-26'.
x = 2

Simplifying
x = 2

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