Solve 3/x - 5/6 = 1/(2x) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{3}{x}-\frac{5}{6}=\frac{1}{2x}$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $6x$, the least common multiple of $x,6,2x$.

$$6\times 3+6x\left(-\frac{5}{6}\right)=3$$

Multiply $6$ and $3$ to get $18$.

$$18+6x\left(-\frac{5}{6}\right)=3$$

Multiply $6$ and $-\frac{5}{6}$ to get $-5$.

$$18-5x=3$$

Subtract $18$ from both sides.

$$-5x=3-18$$

Subtract $18$ from $3$ to get $-15$.

$$-5x=-15$$

Divide both sides by $-5$.

$$x=\frac{-15}{-5}$$

Divide $-15$ by $-5$ to get $3$.

$$x=3$$