9(x-6)=-5x-12

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Solution for 9(x-6)=-5x-12 equation:


Simplifying
9(x + -6) = -5x + -12

Reorder the terms:
9(-6 + x) = -5x + -12
(-6 * 9 + x * 9) = -5x + -12
(-54 + 9x) = -5x + -12

Reorder the terms:
-54 + 9x = -12 + -5x

Solving
-54 + 9x = -12 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-54 + 9x + 5x = -12 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-54 + 14x = -12 + -5x + 5x

Combine like terms: -5x + 5x = 0
-54 + 14x = -12 + 0
-54 + 14x = -12

Add '54' to each side of the equation.
-54 + 54 + 14x = -12 + 54

Combine like terms: -54 + 54 = 0
0 + 14x = -12 + 54
14x = -12 + 54

Combine like terms: -12 + 54 = 42
14x = 42

Divide each side by '14'.
x = 3

Simplifying
x = 3

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