Solve 2k+3(k-4)=2(k-3)

$$2 k + 3 ( k - 4 ) = 2 ( k - 3 )$$

Solve for k

$$k=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by k-4.

$$2k+3k-12=2\left(k-3\right)$$

Combine 2k and 3k to get 5k.

$$5k-12=2\left(k-3\right)$$

Use the distributive property to multiply 2 by k-3.

$$5k-12=2k-6$$

Subtract 2k from both sides.

$$5k-12-2k=-6$$

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

$$3k-12=-6$$

Add 12 to both sides.

$$3k=-6+12$$

Add -6 and 12 to get 6.

$$3k=6$$

Divide both sides by 3.

$$k=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$k=2$$