Solve 3n+10/10=n+3/3

$$\frac { 3 n + 10 } { 10 } = \frac { n + 3 } { 3 }$$

Solve for n

$$n=0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 10,3.

$$3\left(3n+10\right)=10\left(n+3\right)$$

Use the distributive property to multiply 3 by 3n+10.

$$9n+30=10\left(n+3\right)$$

Use the distributive property to multiply 10 by n+3.

$$9n+30=10n+30$$

Subtract 10n from both sides.

$$9n+30-10n=30$$

Combine 9n and -10n to get -n.

$$-n+30=30$$

Subtract 30 from both sides.

$$-n=30-30$$

Subtract 30 from 30 to get 0.

$$-n=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, n must be equal to 0.

$$n=0$$