(x)+(x+2)=3(x+4)-27

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Solution for (x)+(x+2)=3(x+4)-27 equation: 


Simplifying
(x) + (x + 2) = 3(x + 4) + -27
x + (x + 2) = 3(x + 4) + -27

Reorder the terms:
x + (2 + x) = 3(x + 4) + -27

Remove parenthesis around (2 + x)
x + 2 + x = 3(x + 4) + -27

Reorder the terms:
2 + x + x = 3(x + 4) + -27

Combine like terms: x + x = 2x
2 + 2x = 3(x + 4) + -27

Reorder the terms:
2 + 2x = 3(4 + x) + -27
2 + 2x = (4 * 3 + x * 3) + -27
2 + 2x = (12 + 3x) + -27

Reorder the terms:
2 + 2x = 12 + -27 + 3x

Combine like terms: 12 + -27 = -15
2 + 2x = -15 + 3x

Solving
2 + 2x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 2x + -3x = -15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
2 + -1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1x = -15 + 0
2 + -1x = -15

Add '-2' to each side of the equation.
2 + -2 + -1x = -15 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -15 + -2
-1x = -15 + -2

Combine like terms: -15 + -2 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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