(2x-1)(3x+2)-2x=5(3x-2)+6x(x-1)

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Solution for (2x-1)(3x+2)-2x=5(3x-2)+6x(x-1) equation:


Simplifying
(2x + -1)(3x + 2) + -2x = 5(3x + -2) + 6x(x + -1)

Reorder the terms:
(-1 + 2x)(3x + 2) + -2x = 5(3x + -2) + 6x(x + -1)

Reorder the terms:
(-1 + 2x)(2 + 3x) + -2x = 5(3x + -2) + 6x(x + -1)

Multiply (-1 + 2x) * (2 + 3x)
(-1(2 + 3x) + 2x * (2 + 3x)) + -2x = 5(3x + -2) + 6x(x + -1)
((2 * -1 + 3x * -1) + 2x * (2 + 3x)) + -2x = 5(3x + -2) + 6x(x + -1)
((-2 + -3x) + 2x * (2 + 3x)) + -2x = 5(3x + -2) + 6x(x + -1)
(-2 + -3x + (2 * 2x + 3x * 2x)) + -2x = 5(3x + -2) + 6x(x + -1)
(-2 + -3x + (4x + 6x2)) + -2x = 5(3x + -2) + 6x(x + -1)

Combine like terms: -3x + 4x = 1x
(-2 + 1x + 6x2) + -2x = 5(3x + -2) + 6x(x + -1)

Reorder the terms:
-2 + 1x + -2x + 6x2 = 5(3x + -2) + 6x(x + -1)

Combine like terms: 1x + -2x = -1x
-2 + -1x + 6x2 = 5(3x + -2) + 6x(x + -1)

Reorder the terms:
-2 + -1x + 6x2 = 5(-2 + 3x) + 6x(x + -1)
-2 + -1x + 6x2 = (-2 * 5 + 3x * 5) + 6x(x + -1)
-2 + -1x + 6x2 = (-10 + 15x) + 6x(x + -1)

Reorder the terms:
-2 + -1x + 6x2 = -10 + 15x + 6x(-1 + x)
-2 + -1x + 6x2 = -10 + 15x + (-1 * 6x + x * 6x)
-2 + -1x + 6x2 = -10 + 15x + (-6x + 6x2)

Combine like terms: 15x + -6x = 9x
-2 + -1x + 6x2 = -10 + 9x + 6x2

Add '-6x2' to each side of the equation.
-2 + -1x + 6x2 + -6x2 = -10 + 9x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-2 + -1x + 0 = -10 + 9x + 6x2 + -6x2
-2 + -1x = -10 + 9x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-2 + -1x = -10 + 9x + 0
-2 + -1x = -10 + 9x

Solving
-2 + -1x = -10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + -1x + -9x = -10 + 9x + -9x

Combine like terms: -1x + -9x = -10x
-2 + -10x = -10 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -10x = -10 + 0
-2 + -10x = -10

Add '2' to each side of the equation.
-2 + 2 + -10x = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -10x = -10 + 2
-10x = -10 + 2

Combine like terms: -10 + 2 = -8
-10x = -8

Divide each side by '-10'.
x = 0.8

Simplifying
x = 0.8

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