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

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


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

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

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

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

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

Combine like terms: 2 + 3 = 5
5 + 5x + 2x2 = 3x + -2(5 + -1x)
5 + 5x + 2x2 = 3x + (5 * -2 + -1x * -2)
5 + 5x + 2x2 = 3x + (-10 + 2x)

Reorder the terms:
5 + 5x + 2x2 = -10 + 3x + 2x

Combine like terms: 3x + 2x = 5x
5 + 5x + 2x2 = -10 + 5x

Add '-5x' to each side of the equation.
5 + 5x + -5x + 2x2 = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + 0 + 2x2 = -10 + 5x + -5x
5 + 2x2 = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + 2x2 = -10 + 0
5 + 2x2 = -10

Solving
5 + 2x2 = -10

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x2 = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 2x2 = -10 + -5
2x2 = -10 + -5

Combine like terms: -10 + -5 = -15
2x2 = -15

Divide each side by '2'.
x2 = -7.5

Simplifying
x2 = -7.5

Reorder the terms:
7.5 + x2 = -7.5 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
7.5 + x2 = 0.0

The solution to this equation could not be determined.

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