Solve (x+1)(-27/5)=-48

$$(x+1)(- \frac{ 27 }{ 5 } )=-48$$

Solve for x

$$x = \frac{71}{9} = 7\frac{8}{9} \approx 7.888888889$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{5}{27}, the reciprocal of -\frac{27}{5}.

$$x+1=-48\left(-\frac{5}{27}\right)$$

Express -48\left(-\frac{5}{27}\right) as a single fraction.

$$x+1=\frac{-48\left(-5\right)}{27}$$

Multiply -48 and -5 to get 240.

$$x+1=\frac{240}{27}$$

Reduce the fraction \frac{240}{27} to lowest terms by extracting and canceling out 3.

$$x+1=\frac{80}{9}$$

Subtract 1 from both sides.

$$x=\frac{80}{9}-1$$

Convert 1 to fraction \frac{9}{9}.

$$x=\frac{80}{9}-\frac{9}{9}$$

Since \frac{80}{9} and \frac{9}{9} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{80-9}{9}$$

Subtract 9 from 80 to get 71.

$$x=\frac{71}{9}$$