3=(1)/(2x)+(2x-3)/(2x)

Combine fractions: Combine the fractions on the right side of the equation. Since both fractions have the same denominator, we can combine them into a single fraction. (1)/(2x) + (2x-3)/(2x) = (1 + 2x - 3)/(2x)Simplify numerator: Simplify the numerator of the combined fraction. 1 + 2x - 3 = 2x - 2 Now the equation is 3 = (2x - 2)/(2x)Multiply by 2x: Multiply both sides of the equation by 2x to eliminate the fraction. 3 * 2x = (2x - 2) 6x = 2x - 2Subtract 2x: Subtract 2x from both sides of the equation to isolate the variable on one side. 6x - 2x = 2x - 2 - 2x 4x = -2Divide by 4: Divide both sides of the equation by 4 to solve for x. 4x / 4 = -2 / 4 x = -1/2

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$3=\frac{1}{2 x}+\frac{2 x-3}{2 x}$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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3=\frac{1}{2 x}+\frac{2 x-3}{2 x}

Combine fractions: Combine the fractions on the right side of the equation. $\newline$ Since both fractions have the same denominator, we can combine them into a single fraction. $\newline$ $(\frac{1}{2x}) + (\frac{2x-3}{2x}) = (\frac{1 + 2x - 3}{2x})$
Simplify numerator: Simplify the numerator of the combined fraction. $\newline$ $1 + 2x - 3 = 2x - 2$ $\newline$ Now the equation is $3 = \frac{2x - 2}{2x}$
Multiply by $2x$ : Multiply both sides of the equation by $2x$ to eliminate the fraction. $\newline$ $3 \times 2x = (2x - 2)$ $\newline$ $6x = 2x - 2$
Subtract $2x$ : Subtract $2x$ from both sides of the equation to isolate the variable on one side. $\newline$ $6x - 2x = 2x - 2 - 2x$ $\newline$ $4x = -2$
Divide by $4$ : Divide both sides of the equation by $4$ to solve for x. $\newline$ $4x / 4 = -2 / 4$ $\newline$ $x = -1/2$