Solve 77/30=11x+11/21

$$\frac{ 77 }{ 30 } = \frac{ 11x+11 }{ 21 }$$

Solve for x

$$x = \frac{39}{10} = 3\frac{9}{10} = 3.9$$

Steps for Solving Linear Equation

Multiply both sides by 21.

$$\frac{77}{30}\times 21=11x+11$$

Express \frac{77}{30}\times 21 as a single fraction.

$$\frac{77\times 21}{30}=11x+11$$

Multiply 77 and 21 to get 1617.

$$\frac{1617}{30}=11x+11$$

Reduce the fraction \frac{1617}{30} to lowest terms by extracting and canceling out 3.

$$\frac{539}{10}=11x+11$$

Swap sides so that all variable terms are on the left hand side.

$$11x+11=\frac{539}{10}$$

Subtract 11 from both sides.

$$11x=\frac{539}{10}-11$$

Convert 11 to fraction \frac{110}{10}.

$$11x=\frac{539}{10}-\frac{110}{10}$$

Since \frac{539}{10} and \frac{110}{10} have the same denominator, subtract them by subtracting their numerators.

$$11x=\frac{539-110}{10}$$

Subtract 110 from 539 to get 429.

$$11x=\frac{429}{10}$$

Divide both sides by 11.

$$x=\frac{\frac{429}{10}}{11}$$

Express \frac{\frac{429}{10}}{11} as a single fraction.

$$x=\frac{429}{10\times 11}$$

Multiply 10 and 11 to get 110.

$$x=\frac{429}{110}$$

Reduce the fraction \frac{429}{110} to lowest terms by extracting and canceling out 11.

$$x=\frac{39}{10}$$