Solve for x and write your answer in simplest form. -3x+2(4x+(3)/(5))=(9)/(5)-(4)/(5)(-4x-5) Answer: x=

Expand and Simplify: First, expand the left side of the equation to simplify the expression. -3x + 2(4x + 3/5) = -3x + 8x + 6/5 Combine like terms on the left side. (-3x + 8x) + 6/5 = 5x + 6/5Combine Like Terms: Now, expand the right side of the equation. (9/5) - (4/5)(-4x - 5) = (9/5) - (4/5)(-4x) - (4/5)(-5) Simplify the right side. (9/5) + (16/5)x + 4 = (9/5) + (16/5)x + (20/5) Combine like terms on the right side. (9/5) + (20/5) + (16/5)x = (29/5) + (16/5)xExpand and Simplify: Now we have a simplified equation: 5x + 6/5 = (29/5) + (16/5)x Subtract (16/5)x from both sides to get all x terms on one side. 5x - (16/5)x + 6/5 = (29/5) Combine like terms on the left side. (25/5)x - (16/5)x + 6/5 = (29/5) (9/5)x + 6/5 = (29/5)Combine Like Terms: Subtract 6/5 from both sides to isolate the x term. (9/5)x = (29/5) - (6/5) Combine like terms on the right side. (9/5)x = (23/5)Isolate x Term: Divide both sides by (9/5) to solve for x. x = (23/5) / (9/5) Multiply by the reciprocal of (9/5). x = (23/5) * (5/9) Simplify the expression. x = 23/9

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Solve for
x and write your answer in simplest form.

-3x+2(4x+(3)/(5))=(9)/(5)-(4)/(5)(-4x-5)
Answer:
x=

Solve for $x$ and write your answer in simplest form. $\newline$ $-3 x+2\left(4 x+\frac{3}{5}\right)=\frac{9}{5}-\frac{4}{5}(-4 x-5)$ $\newline$ Answer: $x=$

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Math Problems

Precalculus

Find the roots of factored polynomials

Full solution

Q. Solve for

x

and write your answer in simplest form.

\newline

-3 x+2\left(4 x+\frac{3}{5}\right)=\frac{9}{5}-\frac{4}{5}(-4 x-5)

\newline

Answer:

x=

Expand and Simplify: First, expand the left side of the equation to simplify the expression. $\newline$ $-3x + 2(4x + \frac{3}{5}) = -3x + 8x + \frac{6}{5}$ $\newline$ Combine like terms on the left side. $\newline$ $(-3x + 8x) + \frac{6}{5} = 5x + \frac{6}{5}$
Combine Like Terms: Now, expand the right side of the equation. $\newline$ $(\frac{9}{5}) - (\frac{4}{5})(-4x - 5) = (\frac{9}{5}) - (\frac{4}{5})(-4x) - (\frac{4}{5})(-5)$ $\newline$ Simplify the right side. $\newline$ $(\frac{9}{5}) + (\frac{16}{5})x + 4 = (\frac{9}{5}) + (\frac{16}{5})x + (\frac{20}{5})$ $\newline$ Combine like terms on the right side. $\newline$ (\frac{$9$}{$5$}) + (\frac{$20$}{$5$}) + (\frac{$16$}{$5$})x = (\frac{$29$}{$5$}) + (\frac{$16$}{$5$})x
Expand and Simplify: Now we have a simplified equation:\(\newline $5x + \frac{6}{5} = \frac{29}{5} + \frac{16}{5}x$ $\newline$ Subtract $\frac{16}{5}x$ from both sides to get all x terms on one side. $\newline$ $5x - \frac{16}{5}x + \frac{6}{5} = \frac{29}{5}$ $\newline$ Combine like terms on the left side. $\newline$ $\frac{25}{5}x - \frac{16}{5}x + \frac{6}{5} = \frac{29}{5}$ $\newline$ $\frac{9}{5}x + \frac{6}{5} = \frac{29}{5}$
Combine Like Terms: Subtract $\frac{6}{5}$ from both sides to isolate the $x$ term. $\newline$ $(\frac{9}{5})x = (\frac{29}{5}) - (\frac{6}{5})$ $\newline$ Combine like terms on the right side. $\newline$ $(\frac{9}{5})x = (\frac{23}{5})$
Isolate $x$ Term: Divide both sides by $(9/5)$ to solve for $x$ . $x = \frac{23}{5} / \frac{9}{5}$ Multiply by the reciprocal of $(9/5)$ . $x = \frac{23}{5} \times \frac{5}{9}$ Simplify the expression. $x = \frac{23}{9}$