3x-x(4x+5)=-x(x+4)-3x^2-5

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Solution for 3x-x(4x+5)=-x(x+4)-3x^2-5 equation:


Simplifying
3x + -1x(4x + 5) = -1x(x + 4) + -3x2 + -5

Reorder the terms:
3x + -1x(5 + 4x) = -1x(x + 4) + -3x2 + -5
3x + (5 * -1x + 4x * -1x) = -1x(x + 4) + -3x2 + -5
3x + (-5x + -4x2) = -1x(x + 4) + -3x2 + -5

Combine like terms: 3x + -5x = -2x
-2x + -4x2 = -1x(x + 4) + -3x2 + -5

Reorder the terms:
-2x + -4x2 = -1x(4 + x) + -3x2 + -5
-2x + -4x2 = (4 * -1x + x * -1x) + -3x2 + -5
-2x + -4x2 = (-4x + -1x2) + -3x2 + -5

Reorder the terms:
-2x + -4x2 = -5 + -4x + -1x2 + -3x2

Combine like terms: -1x2 + -3x2 = -4x2
-2x + -4x2 = -5 + -4x + -4x2

Add '4x2' to each side of the equation.
-2x + -4x2 + 4x2 = -5 + -4x + -4x2 + 4x2

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

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

Solving
-2x = -5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-2x + 4x = -5 + -4x + 4x

Combine like terms: -2x + 4x = 2x
2x = -5 + -4x + 4x

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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