Solve -3(u+1)=5u-5+2(5u+2)

$$- 3 ( u + 1 ) = 5 u - 5 + 2 ( 5 u + 2 )$$

Solve for u

$$u=-\frac{1}{9}\approx -0.111111111$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by u+1.

$$-3u-3=5u-5+2\left(5u+2\right)$$

Use the distributive property to multiply 2 by 5u+2.

$$-3u-3=5u-5+10u+4$$

Combine 5u and 10u to get 15u.

$$-3u-3=15u-5+4$$

Add -5 and 4 to get -1.

$$-3u-3=15u-1$$

Subtract 15u from both sides.

$$-3u-3-15u=-1$$

Combine -3u and -15u to get -18u.

$$-18u-3=-1$$

Add 3 to both sides.

$$-18u=-1+3$$

Add -1 and 3 to get 2.

$$-18u=2$$

Divide both sides by -18.

$$u=\frac{2}{-18}$$

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

$$u=-\frac{1}{9}$$