Solve x+1/5/30*10/109=2x+10

$$\frac { x + \frac { 1 } { 5 } } { 30 } \times \frac { 10 } { 109 } = 2 x + 10$$

Solve for x

$$x = -\frac{16349}{3265} = -5\frac{24}{3265} \approx -5.007350689$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3270, the least common multiple of 30,109.

$$109\left(x+\frac{1}{5}\right)\times \frac{10}{109}=6540x+32700$$

Cancel out 109 and 109.

$$10\left(x+\frac{1}{5}\right)=6540x+32700$$

Use the distributive property to multiply 10 by x+\frac{1}{5}.

$$10x+10\times \frac{1}{5}=6540x+32700$$

Multiply 10 and \frac{1}{5} to get \frac{10}{5}.

$$10x+\frac{10}{5}=6540x+32700$$

Divide 10 by 5 to get 2.

$$10x+2=6540x+32700$$

Subtract 6540x from both sides.

$$10x+2-6540x=32700$$

Combine 10x and -6540x to get -6530x.

$$-6530x+2=32700$$

Subtract 2 from both sides.

$$-6530x=32700-2$$

Subtract 2 from 32700 to get 32698.

$$-6530x=32698$$

Divide both sides by -6530.

$$x=\frac{32698}{-6530}$$

Reduce the fraction \frac{32698}{-6530} to lowest terms by extracting and canceling out 2.

$$x=-\frac{16349}{3265}$$