(x+2)*(x+1)+(x+3)*(x+1)=2x^2+12

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Solution for (x+2)*(x+1)+(x+3)*(x+1)=2x^2+12 equation: 


Simplifying
(x + 2)(x + 1) + (x + 3)(x + 1) = 2x2 + 12

Reorder the terms:
(2 + x)(x + 1) + (x + 3)(x + 1) = 2x2 + 12

Reorder the terms:
(2 + x)(1 + x) + (x + 3)(x + 1) = 2x2 + 12

Multiply (2 + x) * (1 + x)
(2(1 + x) + x(1 + x)) + (x + 3)(x + 1) = 2x2 + 12
((1 * 2 + x * 2) + x(1 + x)) + (x + 3)(x + 1) = 2x2 + 12
((2 + 2x) + x(1 + x)) + (x + 3)(x + 1) = 2x2 + 12
(2 + 2x + (1 * x + x * x)) + (x + 3)(x + 1) = 2x2 + 12
(2 + 2x + (1x + x2)) + (x + 3)(x + 1) = 2x2 + 12

Combine like terms: 2x + 1x = 3x
(2 + 3x + x2) + (x + 3)(x + 1) = 2x2 + 12

Reorder the terms:
2 + 3x + x2 + (3 + x)(x + 1) = 2x2 + 12

Reorder the terms:
2 + 3x + x2 + (3 + x)(1 + x) = 2x2 + 12

Multiply (3 + x) * (1 + x)
2 + 3x + x2 + (3(1 + x) + x(1 + x)) = 2x2 + 12
2 + 3x + x2 + ((1 * 3 + x * 3) + x(1 + x)) = 2x2 + 12
2 + 3x + x2 + ((3 + 3x) + x(1 + x)) = 2x2 + 12
2 + 3x + x2 + (3 + 3x + (1 * x + x * x)) = 2x2 + 12
2 + 3x + x2 + (3 + 3x + (1x + x2)) = 2x2 + 12

Combine like terms: 3x + 1x = 4x
2 + 3x + x2 + (3 + 4x + x2) = 2x2 + 12

Reorder the terms:
2 + 3 + 3x + 4x + x2 + x2 = 2x2 + 12

Combine like terms: 2 + 3 = 5
5 + 3x + 4x + x2 + x2 = 2x2 + 12

Combine like terms: 3x + 4x = 7x
5 + 7x + x2 + x2 = 2x2 + 12

Combine like terms: x2 + x2 = 2x2
5 + 7x + 2x2 = 2x2 + 12

Reorder the terms:
5 + 7x + 2x2 = 12 + 2x2

Add '-2x2' to each side of the equation.
5 + 7x + 2x2 + -2x2 = 12 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + 7x + 0 = 12 + 2x2 + -2x2
5 + 7x = 12 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + 7x = 12 + 0
5 + 7x = 12

Solving
5 + 7x = 12

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 + 7x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 12 + -5
7x = 12 + -5

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

Divide each side by '7'.
x = 1

Simplifying
x = 1

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