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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -3 + 3 = 0
0 + -6x = 3 + 3
-6x = 3 + 3

Combine like terms: 3 + 3 = 6
-6x = 6

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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