4(2x+1)-2x(3x+4)=6

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Solution for 4(2x+1)-2x(3x+4)=6 equation:


Simplifying
4(2x + 1) + -2x(3x + 4) = 6

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

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

Combine like terms: 8x + -8x = 0
4 + 0 + -6x2 = 6
4 + -6x2 = 6

Solving
4 + -6x2 = 6

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 + -6x2 = 6 + -4

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

Combine like terms: 6 + -4 = 2
-6x2 = 2

Divide each side by '-6'.
x2 = -0.3333333333

Simplifying
x2 = -0.3333333333

Reorder the terms:
0.3333333333 + x2 = -0.3333333333 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.3333333333 + x2 = 0.0000000000

The solution to this equation could not be determined.

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