Solve n-3/2-n-4/5=10

$$\frac { n - 3 } { 2 } - \frac { n - 4 } { 5 } = 10$$

Solve for n

$$n = \frac{107}{3} = 35\frac{2}{3} \approx 35.666666667$$

Steps for Solving Linear Equation

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

$$5\left(n-3\right)-2\left(n-4\right)=100$$

Use the distributive property to multiply 5 by n-3.

$$5n-15-2\left(n-4\right)=100$$

Use the distributive property to multiply -2 by n-4.

$$5n-15-2n+8=100$$

Combine 5n and -2n to get 3n.

$$3n-15+8=100$$

Add -15 and 8 to get -7.

$$3n-7=100$$

Add 7 to both sides.

$$3n=100+7$$

Add 100 and 7 to get 107.

$$3n=107$$

Divide both sides by 3.

$$n=\frac{107}{3}$$