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

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


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

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

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

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

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

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

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

Multiply (-1 + 3x) * (3 + 2x)
-2 + -1x + 6x2 = (-1(3 + 2x) + 3x * (3 + 2x))
-2 + -1x + 6x2 = ((3 * -1 + 2x * -1) + 3x * (3 + 2x))
-2 + -1x + 6x2 = ((-3 + -2x) + 3x * (3 + 2x))
-2 + -1x + 6x2 = (-3 + -2x + (3 * 3x + 2x * 3x))
-2 + -1x + 6x2 = (-3 + -2x + (9x + 6x2))

Combine like terms: -2x + 9x = 7x
-2 + -1x + 6x2 = (-3 + 7x + 6x2)

Add '-6x2' to each side of the equation.
-2 + -1x + 6x2 + -6x2 = -3 + 7x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-2 + -1x + 0 = -3 + 7x + 6x2 + -6x2
-2 + -1x = -3 + 7x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-2 + -1x = -3 + 7x + 0
-2 + -1x = -3 + 7x

Solving
-2 + -1x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + -1x + -7x = -3 + 7x + -7x

Combine like terms: -1x + -7x = -8x
-2 + -8x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -8x = -3 + 0
-2 + -8x = -3

Add '2' to each side of the equation.
-2 + 2 + -8x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = -3 + 2
-8x = -3 + 2

Combine like terms: -3 + 2 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125

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