Solve 3(u-3)-6=-6(-5u+3)-9u

$$3 ( u - 3 ) - 6 = - 6 ( - 5 u + 3 ) - 9 u$$

Solve for u

$$u=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

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

$$3u-9-6=-6\left(-5u+3\right)-9u$$

Subtract 6 from -9 to get -15.

$$3u-15=-6\left(-5u+3\right)-9u$$

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

$$3u-15=30u-18-9u$$

Combine 30u and -9u to get 21u.

$$3u-15=21u-18$$

Subtract 21u from both sides.

$$3u-15-21u=-18$$

Combine 3u and -21u to get -18u.

$$-18u-15=-18$$

Add 15 to both sides.

$$-18u=-18+15$$

Add -18 and 15 to get -3.

$$-18u=-3$$

Divide both sides by -18.

$$u=\frac{-3}{-18}$$

Reduce the fraction \frac{-3}{-18} to lowest terms by extracting and canceling out -3.

$$u=\frac{1}{6}$$