-9(x+5)=-3(x-39)

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Solution for -9(x+5)=-3(x-39) equation: 


Simplifying
-9(x + 5) = -3(x + -39)

Reorder the terms:
-9(5 + x) = -3(x + -39)
(5 * -9 + x * -9) = -3(x + -39)
(-45 + -9x) = -3(x + -39)

Reorder the terms:
-45 + -9x = -3(-39 + x)
-45 + -9x = (-39 * -3 + x * -3)
-45 + -9x = (117 + -3x)

Solving
-45 + -9x = 117 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-45 + -9x + 3x = 117 + -3x + 3x

Combine like terms: -9x + 3x = -6x
-45 + -6x = 117 + -3x + 3x

Combine like terms: -3x + 3x = 0
-45 + -6x = 117 + 0
-45 + -6x = 117

Add '45' to each side of the equation.
-45 + 45 + -6x = 117 + 45

Combine like terms: -45 + 45 = 0
0 + -6x = 117 + 45
-6x = 117 + 45

Combine like terms: 117 + 45 = 162
-6x = 162

Divide each side by '-6'.
x = -27

Simplifying
x = -27

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