Solve 18/d+13=6/d-13

$$\frac { 18 } { d + 13 } = \frac { 6 } { d - 13 }$$

Solve for d

$$d=26$$

Steps for Solving Linear Equation

Variable d cannot be equal to any of the values -13,13 since division by zero is not defined. Multiply both sides of the equation by \left(d-13\right)\left(d+13\right), the least common multiple of d+13,d-13.

$$\left(d-13\right)\times 18=\left(d+13\right)\times 6$$

Use the distributive property to multiply d-13 by 18.

$$18d-234=\left(d+13\right)\times 6$$

Use the distributive property to multiply d+13 by 6.

$$18d-234=6d+78$$

Subtract 6d from both sides.

$$18d-234-6d=78$$

Combine 18d and -6d to get 12d.

$$12d-234=78$$

Add 234 to both sides.

$$12d=78+234$$

Add 78 and 234 to get 312.

$$12d=312$$

Divide both sides by 12.

$$d=\frac{312}{12}$$

Divide 312 by 12 to get 26.

$$d=26$$