Solve 3u+1-2(-4u-1)=3(u-3)

$$3 u + 1 - 2 ( - 4 u - 1 ) = 3 ( u - 3 )$$

Solve for u

$$u = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by -4u-1.

$$3u+1+8u+2=3\left(u-3\right)$$

Combine 3u and 8u to get 11u.

$$11u+1+2=3\left(u-3\right)$$

Add 1 and 2 to get 3.

$$11u+3=3\left(u-3\right)$$

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

$$11u+3=3u-9$$

Subtract 3u from both sides.

$$11u+3-3u=-9$$

Combine 11u and -3u to get 8u.

$$8u+3=-9$$

Subtract 3 from both sides.

$$8u=-9-3$$

Subtract 3 from -9 to get -12.

$$8u=-12$$

Divide both sides by 8.

$$u=\frac{-12}{8}$$

Reduce the fraction \frac{-12}{8} to lowest terms by extracting and canceling out 4.

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