Solve k-9/5+6=2k/3

$$\frac { k - 9 } { 5 } + 6 = \frac { 2 k } { 3 }$$

Solve for k

$$k=9$$

Steps for Solving Linear Equation

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

$$3\left(k-9\right)+90=5\times 2k$$

Use the distributive property to multiply 3 by k-9.

$$3k-27+90=5\times 2k$$

Add -27 and 90 to get 63.

$$3k+63=5\times 2k$$

Multiply 5 and 2 to get 10.

$$3k+63=10k$$

Subtract 10k from both sides.

$$3k+63-10k=0$$

Combine 3k and -10k to get -7k.

$$-7k+63=0$$

Subtract 63 from both sides. Anything subtracted from zero gives its negation.

$$-7k=-63$$

Divide both sides by -7.

$$k=\frac{-63}{-7}$$

Divide -63 by -7 to get 9.

$$k=9$$