Solve 8k+2/2=9k-9/3

$$\frac { 8 k + 2 } { 2 } = \frac { 9 k - 9 } { 3 }$$

Solve for k

$$k=-4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(8k+2\right)=2\left(9k-9\right)$$

Use the distributive property to multiply 3 by 8k+2.

$$24k+6=2\left(9k-9\right)$$

Use the distributive property to multiply 2 by 9k-9.

$$24k+6=18k-18$$

Subtract 18k from both sides.

$$24k+6-18k=-18$$

Combine 24k and -18k to get 6k.

$$6k+6=-18$$

Subtract 6 from both sides.

$$6k=-18-6$$

Subtract 6 from -18 to get -24.

$$6k=-24$$

Divide both sides by 6.

$$k=\frac{-24}{6}$$

Divide -24 by 6 to get -4.

$$k=-4$$