4x(x+2)-x(3+4x)=2x+18

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Solution for 4x(x+2)-x(3+4x)=2x+18 equation: 


Simplifying
4x(x + 2) + -1x(3 + 4x) = 2x + 18

Reorder the terms:
4x(2 + x) + -1x(3 + 4x) = 2x + 18
(2 * 4x + x * 4x) + -1x(3 + 4x) = 2x + 18
(8x + 4x2) + -1x(3 + 4x) = 2x + 18
8x + 4x2 + (3 * -1x + 4x * -1x) = 2x + 18
8x + 4x2 + (-3x + -4x2) = 2x + 18

Reorder the terms:
8x + -3x + 4x2 + -4x2 = 2x + 18

Combine like terms: 8x + -3x = 5x
5x + 4x2 + -4x2 = 2x + 18

Combine like terms: 4x2 + -4x2 = 0
5x + 0 = 2x + 18
5x = 2x + 18

Reorder the terms:
5x = 18 + 2x

Solving
5x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5x + -2x = 18 + 2x + -2x

Combine like terms: 5x + -2x = 3x
3x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
3x = 18 + 0
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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