(7x+2)2+6(7x+2)=27

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Solution for (7x+2)2+6(7x+2)=27 equation:


Simplifying
(7x + 2) * 2 + 6(7x + 2) = 27

Reorder the terms:
(2 + 7x) * 2 + 6(7x + 2) = 27

Reorder the terms for easier multiplication:
2(2 + 7x) + 6(7x + 2) = 27
(2 * 2 + 7x * 2) + 6(7x + 2) = 27
(4 + 14x) + 6(7x + 2) = 27

Reorder the terms:
4 + 14x + 6(2 + 7x) = 27
4 + 14x + (2 * 6 + 7x * 6) = 27
4 + 14x + (12 + 42x) = 27

Reorder the terms:
4 + 12 + 14x + 42x = 27

Combine like terms: 4 + 12 = 16
16 + 14x + 42x = 27

Combine like terms: 14x + 42x = 56x
16 + 56x = 27

Solving
16 + 56x = 27

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 56x = 27 + -16

Combine like terms: 16 + -16 = 0
0 + 56x = 27 + -16
56x = 27 + -16

Combine like terms: 27 + -16 = 11
56x = 11

Divide each side by '56'.
x = 0.1964285714

Simplifying
x = 0.1964285714

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