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

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


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

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

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

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

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

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

Add '-3x2' to each side of the equation.
-2 + -5x + 3x2 + -3x2 = 2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + -5x + 0 = 2x + 3x2 + -3x2
-2 + -5x = 2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + -5x = 2x + 0
-2 + -5x = 2x

Solving
-2 + -5x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + -5x + -2x = 2x + -2x

Combine like terms: -5x + -2x = -7x
-2 + -7x = 2x + -2x

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

Add '2' to each side of the equation.
-2 + 2 + -7x = 0 + 2

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

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

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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