Solve 10(k-3)=-4(2k+2)

$$10 ( k - 3 ) = - 4 ( 2 k + 2 )$$

Solve for k

$$k = \frac{11}{9} = 1\frac{2}{9} \approx 1.222222222$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by k-3.

$$10k-30=-4\left(2k+2\right)$$

Use the distributive property to multiply -4 by 2k+2.

$$10k-30=-8k-8$$

Add 8k to both sides.

$$10k-30+8k=-8$$

Combine 10k and 8k to get 18k.

$$18k-30=-8$$

Add 30 to both sides.

$$18k=-8+30$$

Add -8 and 30 to get 22.

$$18k=22$$

Divide both sides by 18.

$$k=\frac{22}{18}$$

Reduce the fraction \frac{22}{18} to lowest terms by extracting and canceling out 2.

$$k=\frac{11}{9}$$