Which value of x satisfies the equation (3)/(2)(x+(6)/(5))=(93)/(10) ? 5 4 -5 -4

Isolate variable x: First, we need to isolate the variable x in the equation (3)/(2)(x+(6)/(5))=(93)/(10). To do this, we will start by multiplying both sides of the equation by the reciprocal of (3/2), which is (2/3), to cancel out the (3/2) on the left side.Multiply by reciprocal: Perform the multiplication on both sides of the equation: (2/3) * (3/2)(x + (6/5)) = (2/3) * (93/10).Simplify both sides: On the left side, (2/3) * (3/2) simplifies to 1, leaving us with x + (6/5). On the right side, we multiply (2/3) by (93/10) to get (186/30), which simplifies to (31/5). So, we have x + (6/5) = (31/5).Subtract (6/5): Next, we subtract (6/5) from both sides of the equation to solve for x. x + (6/5) - (6/5) = (31/5) - (6/5).Solve for x: After subtracting, we get x = (31/5) - (6/5).Subtract fractions: Now, we subtract the fractions on the right side: (31/5) - (6/5) = (25/5).Final result: The fraction (25/5) simplifies to 5, so we have x = 5.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which value of
x satisfies the equation
(3)/(2)(x+(6)/(5))=(93)/(10) ?
5
4

-5

-4

Which value of $x$ satisfies the equation $\frac{3}{2}\left(x+\frac{6}{5}\right)=\frac{93}{10}$ ? $\newline$ $5$ $\newline$ $4$ $\newline$ $-5$ $\newline$ $-4$

View step-by-step help

Home

Math Problems

Calculus

Find limits using power and root laws

Full solution

Q. Which value of

x

satisfies the equation

\frac{3}{2}\left(x+\frac{6}{5}\right)=\frac{93}{10}

\newline

5

\newline

4

\newline

-5

\newline

-4

Isolate variable $x$ : First, we need to isolate the variable $x$ in the equation $\frac{3}{2}(x+\frac{6}{5})=\frac{93}{10}$ . To do this, we will start by multiplying both sides of the equation by the reciprocal of $\frac{3}{2}$ , which is $\frac{2}{3}$ , to cancel out the $\frac{3}{2}$ on the left side.
Multiply by reciprocal: Perform the multiplication on both sides of the equation: $(\frac{2}{3}) \times (\frac{3}{2})(x + (\frac{6}{5})) = (\frac{2}{3}) \times (\frac{93}{10})$ .
Simplify both sides: On the left side, $(\frac{2}{3}) \times (\frac{3}{2})$ simplifies to $1$ , leaving us with $x + (\frac{6}{5})$ . On the right side, we multiply $(\frac{2}{3})$ by $(\frac{93}{10})$ to get $(\frac{186}{30})$ , which simplifies to $(\frac{31}{5})$ . So, we have $x + (\frac{6}{5}) = (\frac{31}{5})$ .
Subtract $(\frac{6}{5}):</b> Next, we subtract \$(\frac{6}{5})$ from both sides of the equation to solve for $x.$ $\newline$ $x + (\frac{6}{5}) - (\frac{6}{5}) = (\frac{31}{5}) - (\frac{6}{5}).$
Solve for x: After subtracting, we get $x = \frac{31}{5} - \frac{6}{5}$ .
Subtract fractions: Now, we subtract the fractions on the right side: $(\frac{31}{5}) - (\frac{6}{5}) = (\frac{25}{5})$ .
Final result: The fraction $(\frac{25}{5})$ simplifies to $5$ , so we have $x = 5$ .

Which value of $x$ satisfies the equation $\frac{3}{2}\left(x+\frac{6}{5}\right)=\frac{93}{10}$ ? $\newline$ $5$ $\newline$ $4$ $\newline$ $-5$ $\newline$ $-4$

Full solution

More problems from Find limits using power and root laws

Related topics

Which value of x x x satisfies the equation 32(x+65)=9310 \frac{3}{2}\left(x+\frac{6}{5}\right)=\frac{93}{10} 23​(x+56​)=1093​ ?\newline555\newline444\newline−5 -5 −5\newline−4 -4 −4

Which value of $x$ satisfies the equation $\frac{3}{2}\left(x+\frac{6}{5}\right)=\frac{93}{10}$ ? $\newline$ $5$ $\newline$ $4$ $\newline$ $-5$ $\newline$ $-4$