2x-4+3(3x+5)=3x+27

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Solution for 2x-4+3(3x+5)=3x+27 equation: 


Simplifying
2x + -4 + 3(3x + 5) = 3x + 27

Reorder the terms:
2x + -4 + 3(5 + 3x) = 3x + 27
2x + -4 + (5 * 3 + 3x * 3) = 3x + 27
2x + -4 + (15 + 9x) = 3x + 27

Reorder the terms:
-4 + 15 + 2x + 9x = 3x + 27

Combine like terms: -4 + 15 = 11
11 + 2x + 9x = 3x + 27

Combine like terms: 2x + 9x = 11x
11 + 11x = 3x + 27

Reorder the terms:
11 + 11x = 27 + 3x

Solving
11 + 11x = 27 + 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.
11 + 11x + -3x = 27 + 3x + -3x

Combine like terms: 11x + -3x = 8x
11 + 8x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 8x = 27 + 0
11 + 8x = 27

Add '-11' to each side of the equation.
11 + -11 + 8x = 27 + -11

Combine like terms: 11 + -11 = 0
0 + 8x = 27 + -11
8x = 27 + -11

Combine like terms: 27 + -11 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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