9(x+5)=(x-39)

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Solution for 9(x+5)=(x-39) equation:


Simplifying
9(x + 5) = (x + -39)

Reorder the terms:
9(5 + x) = (x + -39)
(5 * 9 + x * 9) = (x + -39)
(45 + 9x) = (x + -39)

Reorder the terms:
45 + 9x = (-39 + x)

Remove parenthesis around (-39 + x)
45 + 9x = -39 + x

Solving
45 + 9x = -39 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
45 + 9x + -1x = -39 + x + -1x

Combine like terms: 9x + -1x = 8x
45 + 8x = -39 + x + -1x

Combine like terms: x + -1x = 0
45 + 8x = -39 + 0
45 + 8x = -39

Add '-45' to each side of the equation.
45 + -45 + 8x = -39 + -45

Combine like terms: 45 + -45 = 0
0 + 8x = -39 + -45
8x = -39 + -45

Combine like terms: -39 + -45 = -84
8x = -84

Divide each side by '8'.
x = -10.5

Simplifying
x = -10.5

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