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Solve for
x in simplest form.

2=(3)/(4)(3x+16)
Answer:

Solve for $\mathrm{x}$ in simplest form. $\newline$ $2=\frac{3}{4}(3 x+16)$ $\newline$ Answer:

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Write a formula for an arithmetic sequence

Full solution

Q. Solve for

\mathrm{x}

in simplest form.

\newline

2=\frac{3}{4}(3 x+16)

\newline

Answer:

Write Equation: Write down the equation given by the problem. $\newline$ The equation is $2 = \left(\frac{3}{4}\right)(3x + 16)$ .
Multiply by Reciprocal: To isolate the term with $x$ , multiply both sides of the equation by the reciprocal of $\frac{3}{4}$ , which is $\frac{4}{3}$ . $\newline$ Doing this, we get $\frac{4}{3} \times 2 = \frac{4}{3} \times \frac{3}{4} \times (3x + 16)$ .
Simplify Equation: Simplify both sides of the equation. $\newline$ On the left side, $(\frac{4}{3}) \times 2$ simplifies to $\frac{8}{3}$ . $\newline$ On the right side, $(\frac{4}{3}) \times (\frac{3}{4})$ simplifies to $1$ , leaving us with $3x + 16$ . $\newline$ So, we have $\frac{8}{3} = 3x + 16$ .
Subtract $16$ : Subtract $16$ from both sides to isolate the term with $x$ on one side. $\newline$ $\frac{8}{3} - 16 = 3x + 16 - 16.$
Combine Left Side: Simplify the left side of the equation. $\newline$ To subtract $16$ from $\frac{8}{3}$ , we need a common denominator. The common denominator is $3$ , so we convert $16$ to $\frac{48}{3}$ . $\newline$ Now we have $\frac{8}{3} - \frac{48}{3} = 3x$ .
Divide by $3$ : Combine the terms on the left side. $\newline$ $\frac{8}{3} - \frac{48}{3}$ simplifies to $-\frac{40}{3}$ . $\newline$ So, we have $-\frac{40}{3} = 3x$ .
Divide by $3$ : Combine the terms on the left side. $\newline$ $\frac{8}{3} - \frac{48}{3}$ simplifies to $-\frac{40}{3}$ . $\newline$ So, we have $-\frac{40}{3} = 3x$ .Divide both sides by $3$ to solve for x. $\newline$ $-\frac{40}{3}$ divided by $3$ is $-\frac{40}{9}$ . $\newline$ So, we have $x = -\frac{40}{9}$ .

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