(x+1)(3x+5)=2x-(7-3x^2)

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Solution for (x+1)(3x+5)=2x-(7-3x^2) equation: 


Simplifying
(x + 1)(3x + 5) = 2x + -1(7 + -3x2)

Reorder the terms:
(1 + x)(3x + 5) = 2x + -1(7 + -3x2)

Reorder the terms:
(1 + x)(5 + 3x) = 2x + -1(7 + -3x2)

Multiply (1 + x) * (5 + 3x)
(1(5 + 3x) + x(5 + 3x)) = 2x + -1(7 + -3x2)
((5 * 1 + 3x * 1) + x(5 + 3x)) = 2x + -1(7 + -3x2)
((5 + 3x) + x(5 + 3x)) = 2x + -1(7 + -3x2)
(5 + 3x + (5 * x + 3x * x)) = 2x + -1(7 + -3x2)
(5 + 3x + (5x + 3x2)) = 2x + -1(7 + -3x2)

Combine like terms: 3x + 5x = 8x
(5 + 8x + 3x2) = 2x + -1(7 + -3x2)
5 + 8x + 3x2 = 2x + (7 * -1 + -3x2 * -1)
5 + 8x + 3x2 = 2x + (-7 + 3x2)

Reorder the terms:
5 + 8x + 3x2 = -7 + 2x + 3x2

Add '-3x2' to each side of the equation.
5 + 8x + 3x2 + -3x2 = -7 + 2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + 8x + 0 = -7 + 2x + 3x2 + -3x2
5 + 8x = -7 + 2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + 8x = -7 + 2x + 0
5 + 8x = -7 + 2x

Solving
5 + 8x = -7 + 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.
5 + 8x + -2x = -7 + 2x + -2x

Combine like terms: 8x + -2x = 6x
5 + 6x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 6x = -7 + 0
5 + 6x = -7

Add '-5' to each side of the equation.
5 + -5 + 6x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = -7 + -5
6x = -7 + -5

Combine like terms: -7 + -5 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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