6(x+2)+5(x+1)=-5

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Solution for 6(x+2)+5(x+1)=-5 equation: 


Simplifying
6(x + 2) + 5(x + 1) = -5

Reorder the terms:
6(2 + x) + 5(x + 1) = -5
(2 * 6 + x * 6) + 5(x + 1) = -5
(12 + 6x) + 5(x + 1) = -5

Reorder the terms:
12 + 6x + 5(1 + x) = -5
12 + 6x + (1 * 5 + x * 5) = -5
12 + 6x + (5 + 5x) = -5

Reorder the terms:
12 + 5 + 6x + 5x = -5

Combine like terms: 12 + 5 = 17
17 + 6x + 5x = -5

Combine like terms: 6x + 5x = 11x
17 + 11x = -5

Solving
17 + 11x = -5

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 11x = -5 + -17

Combine like terms: 17 + -17 = 0
0 + 11x = -5 + -17
11x = -5 + -17

Combine like terms: -5 + -17 = -22
11x = -22

Divide each side by '11'.
x = -2

Simplifying
x = -2

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