(x+1)2+3(x+5)-12=(x+2)2+3

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Solution for (x+1)2+3(x+5)-12=(x+2)2+3 equation:


Simplifying
(x + 1) * 2 + 3(x + 5) + -12 = (x + 2) * 2 + 3

Reorder the terms:
(1 + x) * 2 + 3(x + 5) + -12 = (x + 2) * 2 + 3

Reorder the terms for easier multiplication:
2(1 + x) + 3(x + 5) + -12 = (x + 2) * 2 + 3
(1 * 2 + x * 2) + 3(x + 5) + -12 = (x + 2) * 2 + 3
(2 + 2x) + 3(x + 5) + -12 = (x + 2) * 2 + 3

Reorder the terms:
2 + 2x + 3(5 + x) + -12 = (x + 2) * 2 + 3
2 + 2x + (5 * 3 + x * 3) + -12 = (x + 2) * 2 + 3
2 + 2x + (15 + 3x) + -12 = (x + 2) * 2 + 3

Reorder the terms:
2 + 15 + -12 + 2x + 3x = (x + 2) * 2 + 3

Combine like terms: 2 + 15 = 17
17 + -12 + 2x + 3x = (x + 2) * 2 + 3

Combine like terms: 17 + -12 = 5
5 + 2x + 3x = (x + 2) * 2 + 3

Combine like terms: 2x + 3x = 5x
5 + 5x = (x + 2) * 2 + 3

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

Reorder the terms for easier multiplication:
5 + 5x = 2(2 + x) + 3
5 + 5x = (2 * 2 + x * 2) + 3
5 + 5x = (4 + 2x) + 3

Reorder the terms:
5 + 5x = 4 + 3 + 2x

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

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

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

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

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

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

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

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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