5(x+1)+2(11-x)=-6

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Solution for 5(x+1)+2(11-x)=-6 equation:


Simplifying
5(x + 1) + 2(11 + -1x) = -6

Reorder the terms:
5(1 + x) + 2(11 + -1x) = -6
(1 * 5 + x * 5) + 2(11 + -1x) = -6
(5 + 5x) + 2(11 + -1x) = -6
5 + 5x + (11 * 2 + -1x * 2) = -6
5 + 5x + (22 + -2x) = -6

Reorder the terms:
5 + 22 + 5x + -2x = -6

Combine like terms: 5 + 22 = 27
27 + 5x + -2x = -6

Combine like terms: 5x + -2x = 3x
27 + 3x = -6

Solving
27 + 3x = -6

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 3x = -6 + -27

Combine like terms: 27 + -27 = 0
0 + 3x = -6 + -27
3x = -6 + -27

Combine like terms: -6 + -27 = -33
3x = -33

Divide each side by '3'.
x = -11

Simplifying
x = -11

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