Solve -4(-5u+6)-u=5(u-7)-7

$$- 4 ( - 5 u + 6 ) - u = 5 ( u - 7 ) - 7$$

Solve for u

$$u = -\frac{9}{7} = -1\frac{2}{7} \approx -1.285714286$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by -5u+6.

$$20u-24-u=5\left(u-7\right)-7$$

Combine 20u and -u to get 19u.

$$19u-24=5\left(u-7\right)-7$$

Use the distributive property to multiply 5 by u-7.

$$19u-24=5u-35-7$$

Subtract 7 from -35 to get -42.

$$19u-24=5u-42$$

Subtract 5u from both sides.

$$19u-24-5u=-42$$

Combine 19u and -5u to get 14u.

$$14u-24=-42$$

Add 24 to both sides.

$$14u=-42+24$$

Add -42 and 24 to get -18.

$$14u=-18$$

Divide both sides by 14.

$$u=\frac{-18}{14}$$

Reduce the fraction \frac{-18}{14} to lowest terms by extracting and canceling out 2.

$$u=-\frac{9}{7}$$