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Solve the equation. $$\frac{9}{2}(x+3)=27$$

Short Answer

Expert verified
The solution to the equation is x = 3.

Step by step solution

01

Isolate the variable

Let's start with the original equation \(\frac{9}{2}(x+3)=27\). To isolate 'x', first we need to get rid of the fraction. Multiply both sides by \( \frac{2}{9} \). The equation becomes: \(x+3 = \frac{27}{\frac{9}{2}} = 6\).
02

Solve for x

Now that we have \(x+3 = 6\), we can solve for 'x' by subtracting 3 from both sides of the equation. This gives us: \(x = 6 - 3 = 3\).

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