Solve for x in simplest form. 12=(4)/(3)(x+6) Answer:

Identify equation, isolate term: Identify the equation and isolate the term containing x. The equation given is 12 = (4/3)(x + 6). To isolate the term containing x, we need to get rid of the fraction by multiplying both sides of the equation by the reciprocal of (4/3), which is (3/4).Multiply by reciprocal: Multiply both sides of the equation by (3/4). (3/4) * 12 = (3/4) * (4/3)(x + 6) This simplifies to 9 = x + 6 because (3/4) * 12 = 9 and (3/4) * (4/3) = 1.Subtract 6 to solve: Subtract 6 from both sides to solve for x. 9 - 6 = x + 6 - 6 This simplifies to 3 = x.

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Solve for
x in simplest form.

12=(4)/(3)(x+6)
Answer:

Solve for $\mathrm{x}$ in simplest form. $\newline$ $12=\frac{4}{3}(x+6)$ $\newline$ Answer:

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Math Problems

Algebra 2

Evaluate rational expressions II

Full solution

Q. Solve for

\mathrm{x}

in simplest form.

\newline

12=\frac{4}{3}(x+6)

\newline

Answer:

Identify equation, isolate term: Identify the equation and isolate the term containing $x$ . The equation given is $12 = \left(\frac{4}{3}\right)(x + 6)$ . To isolate the term containing $x$ , we need to get rid of the fraction by multiplying both sides of the equation by the reciprocal of $\left(\frac{4}{3}\right)$ , which is $\left(\frac{3}{4}\right)$ .
Multiply by reciprocal: Multiply both sides of the equation by $(\frac{3}{4})$ . $(\frac{3}{4}) \times 12 = (\frac{3}{4}) \times (\frac{4}{3})(x + 6)$ This simplifies to $9 = x + 6$ because $(\frac{3}{4}) \times 12 = 9$ and $(\frac{3}{4}) \times (\frac{4}{3}) = 1$ .
Subtract $6$ to solve: Subtract $6$ from both sides to solve for $x$ . $9 - 6 = x + 6 - 6$ This simplifies to $3 = x$ .