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

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Solution for 8(x+2)+2=-6(x-11)-1 equation:


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

Reorder the terms:
8(2 + x) + 2 = -6(x + -11) + -1
(2 * 8 + x * 8) + 2 = -6(x + -11) + -1
(16 + 8x) + 2 = -6(x + -11) + -1

Reorder the terms:
16 + 2 + 8x = -6(x + -11) + -1

Combine like terms: 16 + 2 = 18
18 + 8x = -6(x + -11) + -1

Reorder the terms:
18 + 8x = -6(-11 + x) + -1
18 + 8x = (-11 * -6 + x * -6) + -1
18 + 8x = (66 + -6x) + -1

Reorder the terms:
18 + 8x = 66 + -1 + -6x

Combine like terms: 66 + -1 = 65
18 + 8x = 65 + -6x

Solving
18 + 8x = 65 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
18 + 8x + 6x = 65 + -6x + 6x

Combine like terms: 8x + 6x = 14x
18 + 14x = 65 + -6x + 6x

Combine like terms: -6x + 6x = 0
18 + 14x = 65 + 0
18 + 14x = 65

Add '-18' to each side of the equation.
18 + -18 + 14x = 65 + -18

Combine like terms: 18 + -18 = 0
0 + 14x = 65 + -18
14x = 65 + -18

Combine like terms: 65 + -18 = 47
14x = 47

Divide each side by '14'.
x = 3.357142857

Simplifying
x = 3.357142857

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