3x(4-x)-11=2x-x(2+3x)

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Solution for 3x(4-x)-11=2x-x(2+3x) equation:


Simplifying
3x(4 + -1x) + -11 = 2x + -1x(2 + 3x)
(4 * 3x + -1x * 3x) + -11 = 2x + -1x(2 + 3x)
(12x + -3x2) + -11 = 2x + -1x(2 + 3x)

Reorder the terms:
-11 + 12x + -3x2 = 2x + -1x(2 + 3x)
-11 + 12x + -3x2 = 2x + (2 * -1x + 3x * -1x)
-11 + 12x + -3x2 = 2x + (-2x + -3x2)

Combine like terms: 2x + -2x = 0
-11 + 12x + -3x2 = 0 + -3x2
-11 + 12x + -3x2 = -3x2

Add '3x2' to each side of the equation.
-11 + 12x + -3x2 + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-11 + 12x + 0 = -3x2 + 3x2
-11 + 12x = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-11 + 12x = 0

Solving
-11 + 12x = 0

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 12x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 12x = 0 + 11
12x = 0 + 11

Combine like terms: 0 + 11 = 11
12x = 11

Divide each side by '12'.
x = 0.9166666667

Simplifying
x = 0.9166666667

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