Solve k/3-1/2=k/5+11/2

$$\frac { k } { 3 } - \frac { 1 } { 2 } = \frac { k } { 5 } + 1 \frac { 1 } { 2 }$$

Solve for k

$$k=15$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 3,2,5.

$$10k-15=6k+15\left(1\times 2+1\right)$$

Multiply 1 and 2 to get 2.

$$10k-15=6k+15\left(2+1\right)$$

Add 2 and 1 to get 3.

$$10k-15=6k+15\times 3$$

Multiply 15 and 3 to get 45.

$$10k-15=6k+45$$

Subtract 6k from both sides.

$$10k-15-6k=45$$

Combine 10k and -6k to get 4k.

$$4k-15=45$$

Add 15 to both sides.

$$4k=45+15$$

Add 45 and 15 to get 60.

$$4k=60$$

Divide both sides by 4.

$$k=\frac{60}{4}$$

Divide 60 by 4 to get 15.

$$k=15$$