Solve -2(2w-4)+3u=9+3(3u-5)

$$- 2 ( 2 w - 4 ) + 3 u = 9 + 3 ( 3 u - 5 )$$

Solve for u

$$u=\frac{7-2w}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 2w-4.

$$-4w+8+3u=9+3\left(3u-5\right)$$

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

$$-4w+8+3u=9+9u-15$$

Subtract 15 from 9 to get -6.

$$-4w+8+3u=-6+9u$$

Subtract 9u from both sides.

$$-4w+8+3u-9u=-6$$

Combine 3u and -9u to get -6u.

$$-4w+8-6u=-6$$

Add 4w to both sides.

$$8-6u=-6+4w$$

Subtract 8 from both sides.

$$-6u=-6+4w-8$$

Subtract 8 from -6 to get -14.

$$-6u=-14+4w$$

The equation is in standard form.

$$-6u=4w-14$$

Divide both sides by -6.

$$\frac{-6u}{-6}=\frac{4w-14}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$u=\frac{4w-14}{-6}$$

Divide -14+4w by -6.

$$u=\frac{7-2w}{3}$$

Solve for w

$$w=\frac{7-3u}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 2w-4.

$$-4w+8+3u=9+3\left(3u-5\right)$$

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

$$-4w+8+3u=9+9u-15$$

Subtract 15 from 9 to get -6.

$$-4w+8+3u=-6+9u$$

Subtract 8 from both sides.

$$-4w+3u=-6+9u-8$$

Subtract 8 from -6 to get -14.

$$-4w+3u=-14+9u$$

Subtract 3u from both sides.

$$-4w=-14+9u-3u$$

Combine 9u and -3u to get 6u.

$$-4w=-14+6u$$

The equation is in standard form.

$$-4w=6u-14$$

Divide both sides by -4.

$$\frac{-4w}{-4}=\frac{6u-14}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$w=\frac{6u-14}{-4}$$

Divide -14+6u by -4.

$$w=\frac{7-3u}{2}$$