5x+4x(x+2)-x(4x+7)-4=20

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Solution for 5x+4x(x+2)-x(4x+7)-4=20 equation: 


Simplifying
5x + 4x(x + 2) + -1x(4x + 7) + -4 = 20

Reorder the terms:
5x + 4x(2 + x) + -1x(4x + 7) + -4 = 20
5x + (2 * 4x + x * 4x) + -1x(4x + 7) + -4 = 20
5x + (8x + 4x2) + -1x(4x + 7) + -4 = 20

Reorder the terms:
5x + 8x + 4x2 + -1x(7 + 4x) + -4 = 20
5x + 8x + 4x2 + (7 * -1x + 4x * -1x) + -4 = 20
5x + 8x + 4x2 + (-7x + -4x2) + -4 = 20

Reorder the terms:
-4 + 5x + 8x + -7x + 4x2 + -4x2 = 20

Combine like terms: 5x + 8x = 13x
-4 + 13x + -7x + 4x2 + -4x2 = 20

Combine like terms: 13x + -7x = 6x
-4 + 6x + 4x2 + -4x2 = 20

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

Solving
-4 + 6x = 20

Solving for variable 'x'.

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

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

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

Combine like terms: 20 + 4 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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