Solution of the given equation will be [tex]x=-2.[/tex]
Equation given in the question → [tex]\frac{9}{(-3x)}=\frac{12}{(x+10)}[/tex]
To solve this equation use cross multiplication,
9(x + 10) = 12(-3x)
9x + 90 = -36x
Add (36x) on both the sides of the equation,
9x + 90 + 36x = -36x + 36x
45x + 90 = 0
Subtract 90 from both the sides of the equation,
45x + 90 - 90 = 0 - 90
45x = -90
Divide both the sides of the equation by 45,
[tex]\frac{45x}{45}=-\frac{90}{45}[/tex]
[tex]x=-2[/tex]
Therefore, [tex]x=-2[/tex] will be the answer.
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