Which value of x satisfies the equation (3)/(2)(x+(5)/(2))=(33)/(4) ? -2 -3 2 3

Multiply by 2: Given the equation (3)/(2)(x+(5)/(2))=(33)/(4), we need to solve for x. First, we simplify the equation by multiplying both sides by 2 to get rid of the fraction on the left side. (3)(x + (5)/(2)) = (33)/(4) * 2Simplify right side: Now we simplify the right side of the equation by multiplying 33 by 2 and then dividing by 4. (3)(x + (5)/(2)) = 66/4 (3)(x + (5)/(2)) = 16.5Distribute 3: Next, we distribute the 3 on the left side of the equation. 3x + (3 * (5)/(2)) = 16.5 3x + (15)/(2) = 16.5Convert to fraction: To simplify further, we convert 16.5 to a fraction to have a common denominator with (15)/(2). 3x + (15)/(2) = (33)/(2)Subtract (15)/(2): Now we subtract (15)/(2) from both sides to isolate the term with x. 3x = (33)/(2) - (15)/(2) 3x = (33 - 15)/(2)Perform subtraction: We perform the subtraction in the numerator. 3x = (18)/(2) 3x = 9Divide by 3: Finally, we divide both sides by 3 to solve for x. x = 9 / 3 x = 3

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Which value of
x satisfies the equation
(3)/(2)(x+(5)/(2))=(33)/(4) ?

-2

-3
2
3

Which value of $x$ satisfies the equation $\frac{3}{2}\left(x+\frac{5}{2}\right)=\frac{33}{4}$ ? $\newline$ $-2$ $\newline$ $-3$ $\newline$ $2$ $\newline$ $3$

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Algebra 2

Solve complex trigonomentric equations

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Q. Which value of

x

satisfies the equation

\frac{3}{2}\left(x+\frac{5}{2}\right)=\frac{33}{4}

\newline

-2

\newline

-3

\newline

2

\newline

3

Multiply by $2$ : Given the equation $(\frac{3}{2})(x+(\frac{5}{2}))=(\frac{33}{4})$ , we need to solve for x. First, we simplify the equation by multiplying both sides by $2$ to get rid of the fraction on the left side. $\newline$ $(3)(x + (\frac{5}{2})) = (\frac{33}{4}) \times 2$
Simplify right side: Now we simplify the right side of the equation by multiplying $33$ by $2$ and then dividing by $4$ .
$(3)(x + \frac{5}{2}) = \frac{66}{4}$
$(3)(x + \frac{5}{2}) = 16.5$
Distribute $3$ : Next, we distribute the $3$ on the left side of the equation. $\newline$ $3x + (3 \times \frac{5}{2}) = 16.5$ $\newline$ $3x + \frac{15}{2} = 16.5$
Convert to fraction: To simplify further, we convert $16.5$ to a fraction to have a common denominator with $(15)/(2)$ . $\newline$ $3x + (15)/(2) = (33)/(2)$
Subtract $(15)/(2)$ : Now we subtract $(15)/(2)$ from both sides to isolate the term with $x$ . $3x = \frac{33}{2} - \frac{15}{2}$ $3x = \frac{33 - 15}{2}$
Perform subtraction: We perform the subtraction in the numerator. $\newline$ $3x = \frac{18}{2}$ $\newline$ $3x = 9$
Divide by $3$ : Finally, we divide both sides by $3$ to solve for $x$ . $x = \frac{9}{3}$ $x = 3$