5(x+8)+2=-11(x-6)-8

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Solution for 5(x+8)+2=-11(x-6)-8 equation: 


Simplifying
5(x + 8) + 2 = -11(x + -6) + -8

Reorder the terms:
5(8 + x) + 2 = -11(x + -6) + -8
(8 * 5 + x * 5) + 2 = -11(x + -6) + -8
(40 + 5x) + 2 = -11(x + -6) + -8

Reorder the terms:
40 + 2 + 5x = -11(x + -6) + -8

Combine like terms: 40 + 2 = 42
42 + 5x = -11(x + -6) + -8

Reorder the terms:
42 + 5x = -11(-6 + x) + -8
42 + 5x = (-6 * -11 + x * -11) + -8
42 + 5x = (66 + -11x) + -8

Reorder the terms:
42 + 5x = 66 + -8 + -11x

Combine like terms: 66 + -8 = 58
42 + 5x = 58 + -11x

Solving
42 + 5x = 58 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
42 + 5x + 11x = 58 + -11x + 11x

Combine like terms: 5x + 11x = 16x
42 + 16x = 58 + -11x + 11x

Combine like terms: -11x + 11x = 0
42 + 16x = 58 + 0
42 + 16x = 58

Add '-42' to each side of the equation.
42 + -42 + 16x = 58 + -42

Combine like terms: 42 + -42 = 0
0 + 16x = 58 + -42
16x = 58 + -42

Combine like terms: 58 + -42 = 16
16x = 16

Divide each side by '16'.
x = 1

Simplifying
x = 1

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