Solve for x in simplest form. 7=(3)/(2)(x+8) Answer:

Set up equation: First, we need to set up the equation based on the given expression: 7 = (3/2)(x + 8).Isolate x: To solve for x, we need to isolate x on one side of the equation. We can start by multiplying both sides of the equation by the reciprocal of (3/2), which is (2/3), to cancel out the fraction on the right side. (2/3) * 7 = (2/3) * (3/2)(x + 8)Multiply left side: Perform the multiplication on the left side of the equation: (2/3) * 7 = 14/3Cancel fractions: On the right side, the (2/3) and (3/2) will cancel each other out, leaving us with: 14/3 = x + 8Subtract 8: Now, we need to subtract 8 from both sides to solve for x: 14/3 - 8 = xPerform subtraction: To subtract 8 (which is the same as 24/3) from 14/3, we perform the subtraction: 14/3 - 24/3 = xPerform the subtraction to find the value of x: x = 14/3 - 24/3 x = -10/3

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Solve for
x in simplest form.

7=(3)/(2)(x+8)
Answer:

Solve for $\mathrm{x}$ in simplest form. $\newline$ $7=\frac{3}{2}(x+8)$ $\newline$ Answer:

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Precalculus

Find the roots of factored polynomials

Full solution

Q. Solve for

\mathrm{x}

in simplest form.

\newline

7=\frac{3}{2}(x+8)

\newline

Answer:

Set up equation: First, we need to set up the equation based on the given expression: $7 = \left(\frac{3}{2}\right)(x + 8)$ .
Isolate x: To solve for x, we need to isolate x on one side of the equation. We can start by multiplying both sides of the equation by the reciprocal of $(\frac{3}{2})$ , which is $(\frac{2}{3})$ , to cancel out the fraction on the right side. $\newline$ $(\frac{2}{3}) \times 7 = (\frac{2}{3}) \times (\frac{3}{2})(x + 8)$
Multiply left side: Perform the multiplication on the left side of the equation: $(\frac{2}{3}) \times 7 = \frac{14}{3}$
Cancel fractions: On the right side, the $(\frac{2}{3})$ and $(\frac{3}{2})$ will cancel each other out, leaving us with: $\frac{14}{3} = x + 8$
Subtract $8$ : Now, we need to subtract $8$ from both sides to solve for $x$ : $\newline$ $\frac{14}{3} - 8 = x$
Perform subtraction: To subtract $8$ (which is the same as $\frac{24}{3}$ ) from $\frac{14}{3}$ , we perform the subtraction: $\frac{14}{3} - \frac{24}{3} = x$
Perform subtraction: To subtract $8$ (which is the same as $\frac{24}{3}$ ) from $\frac{14}{3}$ , we perform the subtraction: $\newline$ $\frac{14}{3} - \frac{24}{3} = x$ Perform the subtraction to find the value of $x$ : $\newline$ $x = \frac{14}{3} - \frac{24}{3}$ $\newline$ $x = -\frac{10}{3}$