Solve -2*(3w-5)+15=3*(3+2w)

$$- 2 \cdot ( 3 w - 5 ) + 15 = 3 \cdot ( 3 + 2 w )$$

Solve for w

$$w = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 3w-5.

$$-6w+10+15=3\left(3+2w\right)$$

Add 10 and 15 to get 25.

$$-6w+25=3\left(3+2w\right)$$

Use the distributive property to multiply 3 by 3+2w.

$$-6w+25=9+6w$$

Subtract 6w from both sides.

$$-6w+25-6w=9$$

Combine -6w and -6w to get -12w.

$$-12w+25=9$$

Subtract 25 from both sides.

$$-12w=9-25$$

Subtract 25 from 9 to get -16.

$$-12w=-16$$

Divide both sides by -12.

$$w=\frac{-16}{-12}$$

Reduce the fraction \frac{-16}{-12} to lowest terms by extracting and canceling out -4.

$$w=\frac{4}{3}$$