Solve 513+5x/27+x=3.6

$$\frac{ 513+5x }{ 27+x } = 3.6$$

Solve for x

$$x=-297$$

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.

$$513+5x=3.6\left(x+27\right)$$

Use the distributive property to multiply 3.6 by x+27.

$$513+5x=3.6x+97.2$$

Subtract 3.6x from both sides.

$$513+5x-3.6x=97.2$$

Combine 5x and -3.6x to get 1.4x.

$$513+1.4x=97.2$$

Subtract 513 from both sides.

$$1.4x=97.2-513$$

Subtract 513 from 97.2 to get -415.8.

$$1.4x=-415.8$$

Divide both sides by 1.4.

$$x=\frac{-415.8}{1.4}$$

Expand \frac{-415.8}{1.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-4158}{14}$$

Divide -4158 by 14 to get -297.

$$x=-297$$