Solve 7x/2+3/5+1/11+x=3x/3+7

$$\frac{ 7x }{ 2 } + \frac{ 3 }{ 5 } + \frac{ 1 }{ 11 } +x= \frac{ 3x }{ 3 } +7$$

Solve for x

$$x = \frac{694}{385} = 1\frac{309}{385} \approx 1.802597403$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 330, the least common multiple of 2,5,11,3.

$$165\times 7x+198+30+330x=110\times 3x+2310$$

Multiply 165 and 7 to get 1155.

$$1155x+198+30+330x=110\times 3x+2310$$

Add 198 and 30 to get 228.

$$1155x+228+330x=110\times 3x+2310$$

Combine 1155x and 330x to get 1485x.

$$1485x+228=110\times 3x+2310$$

Multiply 110 and 3 to get 330.

$$1485x+228=330x+2310$$

Subtract 330x from both sides.

$$1485x+228-330x=2310$$

Combine 1485x and -330x to get 1155x.

$$1155x+228=2310$$

Subtract 228 from both sides.

$$1155x=2310-228$$

Subtract 228 from 2310 to get 2082.

$$1155x=2082$$

Divide both sides by 1155.

$$x=\frac{2082}{1155}$$

Reduce the fraction \frac{2082}{1155} to lowest terms by extracting and canceling out 3.

$$x=\frac{694}{385}$$