Solve 1345+5x/27+x=3.6

$$\frac{ 1345+5x }{ 27+x } =3.6$$

Solve for x

$$x = -\frac{6239}{7} = -891\frac{2}{7} \approx -891.285714286$$

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.

$$1345+5x=3.6\left(x+27\right)$$

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

$$1345+5x=3.6x+97.2$$

Subtract 3.6x from both sides.

$$1345+5x-3.6x=97.2$$

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

$$1345+1.4x=97.2$$

Subtract 1345 from both sides.

$$1.4x=97.2-1345$$

Subtract 1345 from 97.2 to get -1247.8.

$$1.4x=-1247.8$$

Divide both sides by 1.4.

$$x=\frac{-1247.8}{1.4}$$

Expand \frac{-1247.8}{1.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-12478}{14}$$

Reduce the fraction \frac{-12478}{14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{6239}{7}$$