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

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

Solve for k

$$k=8$$

Steps for Solving Linear Equation

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

$$2k-12+3k=3k+4$$

Combine 2k and 3k to get 5k.

$$5k-12=3k+4$$

Subtract 3k from both sides.

$$5k-12-3k=4$$

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

$$2k-12=4$$

Add 12 to both sides.

$$2k=4+12$$

Add 4 and 12 to get 16.

$$2k=16$$

Divide both sides by 2.

$$k=\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$k=8$$