9(x+5)=3x-9

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


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

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

Reorder the terms:
45 + 9x = -9 + 3x

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

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

Combine like terms: 3x + -3x = 0
45 + 6x = -9 + 0
45 + 6x = -9

Add '-45' to each side of the equation.
45 + -45 + 6x = -9 + -45

Combine like terms: 45 + -45 = 0
0 + 6x = -9 + -45
6x = -9 + -45

Combine like terms: -9 + -45 = -54
6x = -54

Divide each side by '6'.
x = -9

Simplifying
x = -9

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