6(x+5)+2=-7(x-6)-8

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Solution for 6(x+5)+2=-7(x-6)-8 equation: 


Simplifying
6(x + 5) + 2 = -7(x + -6) + -8

Reorder the terms:
6(5 + x) + 2 = -7(x + -6) + -8
(5 * 6 + x * 6) + 2 = -7(x + -6) + -8
(30 + 6x) + 2 = -7(x + -6) + -8

Reorder the terms:
30 + 2 + 6x = -7(x + -6) + -8

Combine like terms: 30 + 2 = 32
32 + 6x = -7(x + -6) + -8

Reorder the terms:
32 + 6x = -7(-6 + x) + -8
32 + 6x = (-6 * -7 + x * -7) + -8
32 + 6x = (42 + -7x) + -8

Reorder the terms:
32 + 6x = 42 + -8 + -7x

Combine like terms: 42 + -8 = 34
32 + 6x = 34 + -7x

Solving
32 + 6x = 34 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
32 + 6x + 7x = 34 + -7x + 7x

Combine like terms: 6x + 7x = 13x
32 + 13x = 34 + -7x + 7x

Combine like terms: -7x + 7x = 0
32 + 13x = 34 + 0
32 + 13x = 34

Add '-32' to each side of the equation.
32 + -32 + 13x = 34 + -32

Combine like terms: 32 + -32 = 0
0 + 13x = 34 + -32
13x = 34 + -32

Combine like terms: 34 + -32 = 2
13x = 2

Divide each side by '13'.
x = 0.1538461538

Simplifying
x = 0.1538461538

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