Solve 11(1+x)=13.5

$$11 ( 1 + x ) = 13.5$$

Solve for x

$$x=\frac{5}{22}\approx 0.227272727$$

Steps for Solving Linear Equation

Divide both sides by 11.

$$1+x=\frac{13.5}{11}$$

Expand \frac{13.5}{11} by multiplying both numerator and the denominator by 10.

$$1+x=\frac{135}{110}$$

Reduce the fraction \frac{135}{110} to lowest terms by extracting and canceling out 5.

$$1+x=\frac{27}{22}$$

Subtract 1 from both sides.

$$x=\frac{27}{22}-1$$

Convert 1 to fraction \frac{22}{22}.

$$x=\frac{27}{22}-\frac{22}{22}$$

Since \frac{27}{22} and \frac{22}{22} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{27-22}{22}$$

Subtract 22 from 27 to get 5.

$$x=\frac{5}{22}$$