Solve 7(k+3)=46-3(12-k)

$$7 ( k + 3 ) = 46 - 3 ( 12 - k )$$

Solve for k

$$k = -\frac{11}{4} = -2\frac{3}{4} = -2.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by k+3.

$$7k+21=46-3\left(12-k\right)$$

Use the distributive property to multiply -3 by 12-k.

$$7k+21=46-36+3k$$

Subtract 36 from 46 to get 10.

$$7k+21=10+3k$$

Subtract 3k from both sides.

$$7k+21-3k=10$$

Combine 7k and -3k to get 4k.

$$4k+21=10$$

Subtract 21 from both sides.

$$4k=10-21$$

Subtract 21 from 10 to get -11.

$$4k=-11$$

Divide both sides by 4.

$$k=\frac{-11}{4}$$

Fraction \frac{-11}{4} can be rewritten as -\frac{11}{4} by extracting the negative sign.

$$k=-\frac{11}{4}$$