Solve for x and write your answer in simplest form. -(1)/(2)+2(10 x+(3)/(2))-9x=(3)/(4)(8x-5) Answer: x=

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Solve for  x and write your answer in simplest form.  -(1)/(2)+2(10 x+(3)/(2))-9x=(3)/(4)(8x-5) Answer:  x=

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Identify Equation: Identify and write down the given equation. -(1)/(2) + 2(10x + (3)/(2)) - 9x = (3)/(4)(8x - 5)Distribute Left Side: Distribute the 2 into the parentheses on the left side of the equation. -(1)/(2) + 2 * 10x + 2 * (3)/(2) - 9x = (3)/(4)(8x - 5)Simplify Left Side: Simplify the left side of the equation by performing the multiplication. -(1)/(2) + 20x + 3 - 9x = (3)/(4)(8x - 5)Combine Like Terms: Combine like terms on the left side of the equation. 20x - 9x + 3 - (1)/(2) = (3)/(4)(8x - 5)Further Simplify Left: Further simplify the left side by combining the x terms and the constants. 11x + 2.5 = (3)/(4)(8x - 5)Distribute Right Side: Distribute the (3)/(4) on the right side of the equation. 11x + 2.5 = (3)/(4) * 8x - (3)/(4) * 5Simplify Right Side: Simplify the right side of the equation by performing the multiplication. 11x + 2.5 = 6x - (15)/(4)Subtract 6x: Subtract 6x from both sides of the equation to get all x terms on one side. 11x - 6x + 2.5 = 6x - 6x - (15)/(4)Combine Like Terms: Simplify both sides of the equation by combining like terms. 5x + 2.5 = -(15)/(4)Subtract 2.5: Subtract 2.5 from both sides of the equation to isolate the x term. 5x + 2.5 - 2.5 = -(15)/(4) - 2.5Convert to Fraction: Convert 2.5 to a fraction with the same denominator as (15)/(4) to combine the constants. 5x = -(15)/(4) - (10)/(4)Combine Constants: Combine the constants on the right side of the equation. 5x = -(25)/(4)Divide by 5: Divide both sides of the equation by 5 to solve for x. x = (-(25)/(4)) / 5Simplify Right Side: Simplify the right side by dividing the numerator by 5. x = -(25)/(20)Reduce Fraction: Reduce the fraction to its simplest form. x = -(5)/(4)

Solve for $x$ and write your answer in simplest form. $\newline$ $-\frac{1}{2}+2\left(10 x+\frac{3}{2}\right)-9 x=\frac{3}{4}(8 x-5)$ $\newline$ Answer: $x=$

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Solve for $x$ and write your answer in simplest form. $\newline$ $-\frac{1}{2}+2\left(10 x+\frac{3}{2}\right)-9 x=\frac{3}{4}(8 x-5)$ $\newline$ Answer: $x=$