Solve for x. 1/2x+1=-1x+4

Correct Equation Format: Correct the equation's format. The equation provided seems to have a typo. It should be written as (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. (1/2)x + 1x = 4 - 1Simplify X Terms: Simplify the x terms. (1/2)x + (2/2)x = 3 (3/2)x = 3Solve for X: Solve for x by multiplying both sides by the reciprocal of (3/2), which is (2/3). x = 3 * (2/3)Simplify Right Side: Simplify the right side to find the value of x. x = 2

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Math Problems

Grade 8

Solve equations with variables on both sides

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Q. Solve for

x

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\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 $x$ . $x = 2$