Solve x:8/5=11/2:(5-23/5)

$$x : \frac { 8 } { 5 } = 1 \frac { 1 } { 2 } : ( 5 - 2 \frac { 3 } { 5 } )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply 1 and 2 to get 2.

$$\frac{x}{\frac{8}{5}}=\frac{\frac{2+1}{2}}{5-\frac{2\times 5+3}{5}}$$

Add 2 and 1 to get 3.

$$\frac{x}{\frac{8}{5}}=\frac{\frac{3}{2}}{5-\frac{2\times 5+3}{5}}$$

Multiply 2 and 5 to get 10.

$$\frac{x}{\frac{8}{5}}=\frac{\frac{3}{2}}{5-\frac{10+3}{5}}$$

Add 10 and 3 to get 13.

$$\frac{x}{\frac{8}{5}}=\frac{\frac{3}{2}}{5-\frac{13}{5}}$$

Convert 5 to fraction \frac{25}{5}.

$$\frac{x}{\frac{8}{5}}=\frac{\frac{3}{2}}{\frac{25}{5}-\frac{13}{5}}$$

Since \frac{25}{5} and \frac{13}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x}{\frac{8}{5}}=\frac{\frac{3}{2}}{\frac{25-13}{5}}$$

Subtract 13 from 25 to get 12.

$$\frac{x}{\frac{8}{5}}=\frac{\frac{3}{2}}{\frac{12}{5}}$$

Divide \frac{3}{2} by \frac{12}{5} by multiplying \frac{3}{2} by the reciprocal of \frac{12}{5}.

$$\frac{x}{\frac{8}{5}}=\frac{3}{2}\times \frac{5}{12}$$

Multiply \frac{3}{2} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{\frac{8}{5}}=\frac{3\times 5}{2\times 12}$$

Do the multiplications in the fraction \frac{3\times 5}{2\times 12}.

$$\frac{x}{\frac{8}{5}}=\frac{15}{24}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{x}{\frac{8}{5}}=\frac{5}{8}$$

Multiply both sides by \frac{8}{5}.

$$x=\frac{5}{8}\times \frac{8}{5}$$

Cancel out \frac{5}{8} and its reciprocal \frac{8}{5}.

$$x=1$$