8x-5=-6(x+4)-9

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Solution for 8x-5=-6(x+4)-9 equation:


Simplifying
8x + -5 = -6(x + 4) + -9

Reorder the terms:
-5 + 8x = -6(x + 4) + -9

Reorder the terms:
-5 + 8x = -6(4 + x) + -9
-5 + 8x = (4 * -6 + x * -6) + -9
-5 + 8x = (-24 + -6x) + -9

Reorder the terms:
-5 + 8x = -24 + -9 + -6x

Combine like terms: -24 + -9 = -33
-5 + 8x = -33 + -6x

Solving
-5 + 8x = -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.
-5 + 8x + 6x = -33 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-5 + 14x = -33 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 14x = -33 + 0
-5 + 14x = -33

Add '5' to each side of the equation.
-5 + 5 + 14x = -33 + 5

Combine like terms: -5 + 5 = 0
0 + 14x = -33 + 5
14x = -33 + 5

Combine like terms: -33 + 5 = -28
14x = -28

Divide each side by '14'.
x = -2

Simplifying
x = -2

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