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

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

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Simplify Equation: First, we need to simplify the equation by combining like terms and getting rid of the fractions. To do this, we can multiply every term by the least common denominator, which in this case is 2(x - 3). This will eliminate the fractions.Multiply by Common Denominator: Multiplying the entire equation by 2(x - 3) gives us: 2(x - 3)(3x) + 2(x - 3)(5/2) + 2(x - 3)(3/2) = 2(x - 3)(8x - 8).Distribute and Simplify: Distribute and simplify each term: 6x(x - 3) + 5 + 3(x - 3) = 16x(x - 3) - 16(x - 3).Expand Terms: Expand the terms: 6x^2 - 18x + 5 + 3x - 9 = 16x^2 - 48x - 16x + 48.Combine Like Terms: Combine like terms: 6x^2 - 15x - 4 = 16x^2 - 64x + 48.Move Terms to One Side: Move all terms to one side to set the equation to zero: 6x^2 - 15x - 4 - 16x^2 + 64x - 48 = 0.Quadratic Formula: Combine like terms again: -10x^2 + 49x - 52 = 0.Calculate Discriminant: This is a quadratic equation, and we can solve for x by factoring, completing the square, or using the quadratic formula. However, the equation does not factor easily, so we will use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a), where a = -10, b = 49, and c = -52.Apply Quadratic Formula: First, calculate the discriminant (b^2 - 4ac): Discriminant = 49^2 - 4(-10)(-52) = 2401 - 2080 = 321.Simplify Expression: Now, apply the quadratic formula: x = (-49 ± √321) / (2 * -10).Find Solutions: Simplify the expression: x = (-49 ± √321) / -20.Correct Mistake: Since √321 is not a perfect square, we can leave it under the radical. The two solutions for x are: x = (-49 + √321) / -20 or x = (-49 - √321) / -20.However, we made a mistake in the sign of the constant term when we combined like terms. The correct equation after combining like terms should have been: 6x^2 - 15x - 4 = 16x^2 - 64x + 48. Which simplifies to: -10x^2 + 49x - 52 = 0. This is incorrect; the correct simplification should be: 10x^2 - 49x + 52 = 0. We need to correct this and solve the correct quadratic equation.

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

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Solve for x x x and write your answer in simplest form.\newline3x+52(x−3)+32=8x−8 3 x+\frac{5}{2}(x-3)+\frac{3}{2}=8 x-8 3x+25​(x−3)+23​=8x−8\newlineAnswer: x= x= x=

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