Solve -5(-3w+6)-4w=5(w-3)-5

$$- 5 ( - 3 w + 6 ) - 4 w = 5 ( w - 3 ) - 5$$

Solve for w

$$w = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by -3w+6.

$$15w-30-4w=5\left(w-3\right)-5$$

Combine 15w and -4w to get 11w.

$$11w-30=5\left(w-3\right)-5$$

Use the distributive property to multiply 5 by w-3.

$$11w-30=5w-15-5$$

Subtract 5 from -15 to get -20.

$$11w-30=5w-20$$

Subtract 5w from both sides.

$$11w-30-5w=-20$$

Combine 11w and -5w to get 6w.

$$6w-30=-20$$

Add 30 to both sides.

$$6w=-20+30$$

Add -20 and 30 to get 10.

$$6w=10$$

Divide both sides by 6.

$$w=\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$w=\frac{5}{3}$$