Solve for x and write your answer in simplest form. -9x=-4x+5(-(3)/(5)x+(4)/(5))-8 Answer: x=

Distribute and Simplify: First, distribute the 5 into the parentheses on the right side of the equation. -9x = -4x + 5 * (-3/5)x + 5 * (4/5) - 8Combine Like Terms: Simplify the terms inside the equation by multiplying 5 with each term inside the parentheses. -9x = -4x - 3x + 4 - 8Add and Subtract: Combine like terms on the right side of the equation. -9x = -4x - 3x - 4Isolate x Term: Further simplify the right side by adding the x terms together. -9x = -7x - 4Divide and Solve: Add 7x to both sides of the equation to isolate the x term on one side. -9x + 7x = -7x + 7x - 4 -2x = -4Final Solution: Divide both sides of the equation by -2 to solve for x. x = -4 / -2Simplify the division to find the value of x. x = 2

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Q. Solve for

x

and write your answer in simplest form.

\newline

-9 x=-4 x+5\left(-\frac{3}{5} x+\frac{4}{5}\right)-8

\newline

Answer:

x=

Distribute and Simplify: First, distribute the $5$ into the parentheses on the right side of the equation. $-9x = -4x + 5 \times \left(-\frac{3}{5}\right)x + 5 \times \left(\frac{4}{5}\right) - 8$
Combine Like Terms: Simplify the terms inside the equation by multiplying $5$ with each term inside the parentheses. $-9x = -4x - 3x + 4 - 8$
Add and Subtract: Combine like terms on the right side of the equation. $\newline$ $-9x = -4x - 3x - 4$
Isolate $x$ Term: Further simplify the right side by adding the $x$ terms together. $-9x = -7x - 4$
Divide and Solve: Add $7x$ to both sides of the equation to isolate the $x$ term on one side. $\newline$ $-9x + 7x = -7x + 7x - 4$ $\newline$ $-2x = -4$
Final Solution: Divide both sides of the equation by $-2$ to solve for $x$ . $x = \frac{-4}{-2}$
Final Solution: Divide both sides of the equation by $-2$ to solve for $x$ . $x = \frac{-4}{-2}$ Simplify the division to find the value of $x$ . $x = 2$