6(x+2)+5(x+6)=2

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Solution for 6(x+2)+5(x+6)=2 equation:


Simplifying
6(x + 2) + 5(x + 6) = 2

Reorder the terms:
6(2 + x) + 5(x + 6) = 2
(2 * 6 + x * 6) + 5(x + 6) = 2
(12 + 6x) + 5(x + 6) = 2

Reorder the terms:
12 + 6x + 5(6 + x) = 2
12 + 6x + (6 * 5 + x * 5) = 2
12 + 6x + (30 + 5x) = 2

Reorder the terms:
12 + 30 + 6x + 5x = 2

Combine like terms: 12 + 30 = 42
42 + 6x + 5x = 2

Combine like terms: 6x + 5x = 11x
42 + 11x = 2

Solving
42 + 11x = 2

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 11x = 2 + -42

Combine like terms: 42 + -42 = 0
0 + 11x = 2 + -42
11x = 2 + -42

Combine like terms: 2 + -42 = -40
11x = -40

Divide each side by '11'.
x = -3.636363636

Simplifying
x = -3.636363636

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