6(x+5)+2=-6(x-7)-9

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Solution for 6(x+5)+2=-6(x-7)-9 equation: 


Simplifying
6(x + 5) + 2 = -6(x + -7) + -9

Reorder the terms:
6(5 + x) + 2 = -6(x + -7) + -9
(5 * 6 + x * 6) + 2 = -6(x + -7) + -9
(30 + 6x) + 2 = -6(x + -7) + -9

Reorder the terms:
30 + 2 + 6x = -6(x + -7) + -9

Combine like terms: 30 + 2 = 32
32 + 6x = -6(x + -7) + -9

Reorder the terms:
32 + 6x = -6(-7 + x) + -9
32 + 6x = (-7 * -6 + x * -6) + -9
32 + 6x = (42 + -6x) + -9

Reorder the terms:
32 + 6x = 42 + -9 + -6x

Combine like terms: 42 + -9 = 33
32 + 6x = 33 + -6x

Solving
32 + 6x = 33 + -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.
32 + 6x + 6x = 33 + -6x + 6x

Combine like terms: 6x + 6x = 12x
32 + 12x = 33 + -6x + 6x

Combine like terms: -6x + 6x = 0
32 + 12x = 33 + 0
32 + 12x = 33

Add '-32' to each side of the equation.
32 + -32 + 12x = 33 + -32

Combine like terms: 32 + -32 = 0
0 + 12x = 33 + -32
12x = 33 + -32

Combine like terms: 33 + -32 = 1
12x = 1

Divide each side by '12'.
x = 0.08333333333

Simplifying
x = 0.08333333333

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