Solve 3(u-2)-4u=2(u-9)

$$3 ( u - 2 ) - 4 u = 2 ( u - 9 )$$

Solve for u

$$u=4$$

Steps for Solving Linear Equation

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

$$3u-6-4u=2\left(u-9\right)$$

Combine 3u and -4u to get -u.

$$-u-6=2\left(u-9\right)$$

Use the distributive property to multiply 2 by u-9.

$$-u-6=2u-18$$

Subtract 2u from both sides.

$$-u-6-2u=-18$$

Combine -u and -2u to get -3u.

$$-3u-6=-18$$

Add 6 to both sides.

$$-3u=-18+6$$

Add -18 and 6 to get -12.

$$-3u=-12$$

Divide both sides by -3.

$$u=\frac{-12}{-3}$$

Divide -12 by -3 to get 4.

$$u=4$$