Solve 513+5x/27+x=36

$$\frac{ 513+5x }{ 27+x } = 36$$

Solve for x

$$x = -\frac{459}{31} = -14\frac{25}{31} \approx -14.806451613$$

Steps for Solving Linear Equation

Variable x cannot be equal to -27 since division by zero is not defined. Multiply both sides of the equation by x+27.

$$513+5x=36\left(x+27\right)$$

Use the distributive property to multiply 36 by x+27.

$$513+5x=36x+972$$

Subtract 36x from both sides.

$$513+5x-36x=972$$

Combine 5x and -36x to get -31x.

$$513-31x=972$$

Subtract 513 from both sides.

$$-31x=972-513$$

Subtract 513 from 972 to get 459.

$$-31x=459$$

Divide both sides by -31.

$$x=\frac{459}{-31}$$

Fraction \frac{459}{-31} can be rewritten as -\frac{459}{31} by extracting the negative sign.

$$x=-\frac{459}{31}$$