Solve s/2+3s+1/5=s+3/10

$$\frac { s } { 2 } + \frac { 3 s + 1 } { 5 } = \frac { s + 3 } { 10 }$$

Solve for s

$$s=\frac{1}{10}=0.1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5,10.

$$5s+2\left(3s+1\right)=s+3$$

Use the distributive property to multiply 2 by 3s+1.

$$5s+6s+2=s+3$$

Combine 5s and 6s to get 11s.

$$11s+2=s+3$$

Subtract s from both sides.

$$11s+2-s=3$$

Combine 11s and -s to get 10s.

$$10s+2=3$$

Subtract 2 from both sides.

$$10s=3-2$$

Subtract 2 from 3 to get 1.

$$10s=1$$

Divide both sides by 10.

$$s=\frac{1}{10}$$