Solve for x in simplest form. 1=(3)/(2)(9x+6) Answer:

Distribute and Simplify: Simplify the equation by distributing the fraction across the parentheses. 1 = (3/2)(9x + 6) First, distribute the (3/2) to both 9x and 6. (3/2) * 9x + (3/2) * 6 = (27/2)x + 9Isolate x Term: Since we want to solve for x, we need to isolate the term containing x. To do this, we subtract 9 from both sides of the equation. 1 - 9 = (27/2)x + 9 - 9 -8 = (27/2)xDivide to Solve: To solve for x, we need to divide both sides of the equation by (27/2). (-8) / (27/2) = ((27/2)x) / (27/2) To divide by a fraction, we multiply by its reciprocal. -8 * (2/27) = xFinal Answer: Simplify the multiplication to find the value of x. x = -16/27

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Solve for
x in simplest form.

1=(3)/(2)(9x+6)
Answer:

Solve for $\mathrm{x}$ in simplest form. $\newline$ $1=\frac{3}{2}(9 x+6)$ $\newline$ Answer:

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Math Problems

Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for

\mathrm{x}

in simplest form.

\newline

1=\frac{3}{2}(9 x+6)

\newline

Answer:

Distribute and Simplify: Simplify the equation by distributing the fraction across the parentheses. $\newline$ $1 = \left(\frac{3}{2}\right)(9x + 6)$ $\newline$ First, distribute the $\left(\frac{3}{2}\right)$ to both $9x$ and $6$ . $\newline$ $\left(\frac{3}{2}\right) \times 9x + \left(\frac{3}{2}\right) \times 6$ $\newline$ $= \left(\frac{27}{2}\right)x + 9$
Isolate x Term: Since we want to solve for $x$ , we need to isolate the term containing $x$ . To do this, we subtract $9$ from both sides of the equation. $1 - 9 = \left(\frac{27}{2}\right)x + 9 - 9$ $-8 = \left(\frac{27}{2}\right)x$
Divide to Solve: To solve for $x$ , we need to divide both sides of the equation by $(27/2)$ . $\frac{-8}{27/2} = \frac{(27/2)x}{27/2}$ To divide by a fraction, we multiply by its reciprocal. $-8 \times \frac{2}{27} = x$
Final Answer: Simplify the multiplication to find the value of $x$ . $x = -\frac{16}{27}$