9(3x+6)+(x+2)=11

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Solution for 9(3x+6)+(x+2)=11 equation:


Simplifying
9(3x + 6) + (x + 2) = 11

Reorder the terms:
9(6 + 3x) + (x + 2) = 11
(6 * 9 + 3x * 9) + (x + 2) = 11
(54 + 27x) + (x + 2) = 11

Reorder the terms:
54 + 27x + (2 + x) = 11

Remove parenthesis around (2 + x)
54 + 27x + 2 + x = 11

Reorder the terms:
54 + 2 + 27x + x = 11

Combine like terms: 54 + 2 = 56
56 + 27x + x = 11

Combine like terms: 27x + x = 28x
56 + 28x = 11

Solving
56 + 28x = 11

Solving for variable 'x'.

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

Add '-56' to each side of the equation.
56 + -56 + 28x = 11 + -56

Combine like terms: 56 + -56 = 0
0 + 28x = 11 + -56
28x = 11 + -56

Combine like terms: 11 + -56 = -45
28x = -45

Divide each side by '28'.
x = -1.607142857

Simplifying
x = -1.607142857

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