How to solve 5/x = 3/x + 2

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 5/x = 3/x + 2 | Equatix

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Question

$$\frac{5}{x}=\frac{3}{x}+2$$

Solve for x

$x=1$

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 $x$.

$$5=3+x\times 2$$

Swap sides so that all variable terms are on the left hand side.

$$3+x\times 2=5$$

Subtract $3$ from both sides.

$$x\times 2=5-3$$

Subtract $3$ from $5$ to get $2$.

$$x\times 2=2$$

Divide both sides by $2$.

$$x=\frac{2}{2}$$

Divide $2$ by $2$ to get $1$.

$$x=1$$

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Question

Solve for x

Steps for Solving Linear Equation