Solve x+13/5=37/10

$$x + 1 \frac { 3 } { 5 } = 3 \frac { 7 } { 10 }$$

Solve for x

$$x = \frac{21}{10} = 2\frac{1}{10} = 2.1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,10.

$$10x+2\left(1\times 5+3\right)=3\times 10+7$$

Multiply 1 and 5 to get 5.

$$10x+2\left(5+3\right)=3\times 10+7$$

Add 5 and 3 to get 8.

$$10x+2\times 8=3\times 10+7$$

Multiply 2 and 8 to get 16.

$$10x+16=3\times 10+7$$

Multiply 3 and 10 to get 30.

$$10x+16=30+7$$

Add 30 and 7 to get 37.

$$10x+16=37$$

Subtract 16 from both sides.

$$10x=37-16$$

Subtract 16 from 37 to get 21.

$$10x=21$$

Divide both sides by 10.

$$x=\frac{21}{10}$$