Solve (x - 3)/(x ^ 2 - 25) + 1/(x + 5) = 1/(x - 5) | 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

$$\frac{x-3}{x^{2}-25}+\frac{1}{x+5}=\frac{1}{(x-5)}$$

Solve for x

$x=13$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to any of the values $-5,5$ since division by zero is not defined. Multiply both sides of the equation by $\left(x-5\right)\left(x+5\right)$, the least common multiple of $x^{2}-25,x+5,x-5$.

$$x-3+x-5=x+5$$

Combine $x$ and $x$ to get $2x$.

$$2x-3-5=x+5$$

Subtract $5$ from $-3$ to get $-8$.

$$2x-8=x+5$$

Subtract $x$ from both sides.

$$2x-8-x=5$$

Combine $2x$ and $-x$ to get $x$.

$$x-8=5$$

Add $8$ to both sides.

$$x=5+8$$

Add $5$ and $8$ to get $13$.

$$x=13$$