6(x+1)+2=-9(x-5)-2

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Solution for 6(x+1)+2=-9(x-5)-2 equation: 


Simplifying
6(x + 1) + 2 = -9(x + -5) + -2

Reorder the terms:
6(1 + x) + 2 = -9(x + -5) + -2
(1 * 6 + x * 6) + 2 = -9(x + -5) + -2
(6 + 6x) + 2 = -9(x + -5) + -2

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

Combine like terms: 6 + 2 = 8
8 + 6x = -9(x + -5) + -2

Reorder the terms:
8 + 6x = -9(-5 + x) + -2
8 + 6x = (-5 * -9 + x * -9) + -2
8 + 6x = (45 + -9x) + -2

Reorder the terms:
8 + 6x = 45 + -2 + -9x

Combine like terms: 45 + -2 = 43
8 + 6x = 43 + -9x

Solving
8 + 6x = 43 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
8 + 6x + 9x = 43 + -9x + 9x

Combine like terms: 6x + 9x = 15x
8 + 15x = 43 + -9x + 9x

Combine like terms: -9x + 9x = 0
8 + 15x = 43 + 0
8 + 15x = 43

Add '-8' to each side of the equation.
8 + -8 + 15x = 43 + -8

Combine like terms: 8 + -8 = 0
0 + 15x = 43 + -8
15x = 43 + -8

Combine like terms: 43 + -8 = 35
15x = 35

Divide each side by '15'.
x = 2.333333333

Simplifying
x = 2.333333333

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