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Solve for $x$ : $\newline$ $5+3\sin x=7$

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Solve two-step equations

Full solution

Q. Solve for

x

:

\newline

5+3\sin x=7

Isolate sine term: Isolate the sine term on one side of the equation. $\newline$ $5 + 3\sin x = 7$ $\newline$ $3\sin x = 7 - 5$ (subtracting $5$ from both sides)
Simplify right side: Simplify the right side of the equation. $3\sin x = 2$
Divide by $3$ : Divide both sides by $3$ to solve for $\sin x$ . $\newline$ $\sin x = \frac{2}{3}$
Find $x$ value: Find the value of $x$ by taking the inverse sine (arcsin) of $\frac{2}{3}$ . $\newline$ $x = \arcsin\left(\frac{2}{3}\right)$

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