Solve -3(3u-8)+2u=3(u+2)

$$- 3 ( 3 u - 8 ) + 2 u = 3 ( u + 2 )$$

Solve for u

$$u = \frac{9}{5} = 1\frac{4}{5} = 1.8$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 3u-8.

$$-9u+24+2u=3\left(u+2\right)$$

Combine -9u and 2u to get -7u.

$$-7u+24=3\left(u+2\right)$$

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

$$-7u+24=3u+6$$

Subtract 3u from both sides.

$$-7u+24-3u=6$$

Combine -7u and -3u to get -10u.

$$-10u+24=6$$

Subtract 24 from both sides.

$$-10u=6-24$$

Subtract 24 from 6 to get -18.

$$-10u=-18$$

Divide both sides by -10.

$$u=\frac{-18}{-10}$$

Reduce the fraction \frac{-18}{-10} to lowest terms by extracting and canceling out -2.

$$u=\frac{9}{5}$$