2x(3x-4)=3x(2x+1)-11

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Solution for 2x(3x-4)=3x(2x+1)-11 equation: 


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

Reorder the terms:
2x(-4 + 3x) = 3x(2x + 1) + -11
(-4 * 2x + 3x * 2x) = 3x(2x + 1) + -11
(-8x + 6x2) = 3x(2x + 1) + -11

Reorder the terms:
-8x + 6x2 = 3x(1 + 2x) + -11
-8x + 6x2 = (1 * 3x + 2x * 3x) + -11
-8x + 6x2 = (3x + 6x2) + -11

Reorder the terms:
-8x + 6x2 = -11 + 3x + 6x2

Add '-6x2' to each side of the equation.
-8x + 6x2 + -6x2 = -11 + 3x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8x + 0 = -11 + 3x + 6x2 + -6x2
-8x = -11 + 3x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8x = -11 + 3x + 0
-8x = -11 + 3x

Solving
-8x = -11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8x + -3x = -11 + 3x + -3x

Combine like terms: -8x + -3x = -11x
-11x = -11 + 3x + -3x

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

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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