Solve 4=k+1/3+k+5/5

$$4 = \frac { k + 1 } { 3 } + \frac { k + 5 } { 5 }$$

Solve for k

$$k=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$60=5\left(k+1\right)+3\left(k+5\right)$$

Use the distributive property to multiply 5 by k+1.

$$60=5k+5+3\left(k+5\right)$$

Use the distributive property to multiply 3 by k+5.

$$60=5k+5+3k+15$$

Combine 5k and 3k to get 8k.

$$60=8k+5+15$$

Add 5 and 15 to get 20.

$$60=8k+20$$

Swap sides so that all variable terms are on the left hand side.

$$8k+20=60$$

Subtract 20 from both sides.

$$8k=60-20$$

Subtract 20 from 60 to get 40.

$$8k=40$$

Divide both sides by 8.

$$k=\frac{40}{8}$$

Divide 40 by 8 to get 5.

$$k=5$$