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Solve for $x$ . $\newline$ $\frac{1}{2x}+1=-1x+4$

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Solve equations with variables on both sides

Full solution

Q. Solve for

x

.

\newline

\frac{1}{2x}+1=-1x+4

Correct Equation Format: Correct the equation's format. $\newline$ The equation provided seems to have a typo. It should be written as $(\frac{1}{2})x + 1 = -1x + 4$ to make sense mathematically.
Combine Like Terms: Combine like terms by getting all the $x$ terms on one side and the constants on the other side. $\frac{1}{2}x + 1x = 4 - 1$
Simplify $X$ Terms: Simplify the $x$ terms. $\frac{1}{2}x + \frac{2}{2}x = 3$ $\frac{3}{2}x = 3$
Solve for X: Solve for $x$ by multiplying both sides by the reciprocal of $(\frac{3}{2})$ , which is $(\frac{2}{3})$ . $x = 3 \times (\frac{2}{3})$
Simplify Right Side: Simplify the right side to find the value of $x$ . $x = 2$

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