Solve 2(u-1)+8=6(2u-4)

$$2 ( u - 1 ) + 8 = 6 ( 2 u - 4 )$$

Solve for u

$$u=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by u-1.

$$2u-2+8=6\left(2u-4\right)$$

Add -2 and 8 to get 6.

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

Use the distributive property to multiply 6 by 2u-4.

$$2u+6=12u-24$$

Subtract 12u from both sides.

$$2u+6-12u=-24$$

Combine 2u and -12u to get -10u.

$$-10u+6=-24$$

Subtract 6 from both sides.

$$-10u=-24-6$$

Subtract 6 from -24 to get -30.

$$-10u=-30$$

Divide both sides by -10.

$$u=\frac{-30}{-10}$$

Divide -30 by -10 to get 3.

$$u=3$$