5u+5(1-u)=u+8

Simplify each term.

Apply the distributive property.

5u+5⋅1+5(-u)=u+8

Multiply 5 by 1.

5u+5+5(-u)=u+8

Multiply -1 by 5.

5u+5-5u=u+8

5u+5-5u=u+8

Combine the opposite terms in 5u+5-5u.

Subtract 5u from 5u.

0+5=u+8

Add 0 and 5.

5=u+8

5=u+8

5=u+8

Since u is on the right side of the equation, switch the sides so it is on the left side of the equation.

u+8=5

Subtract 8 from both sides of the equation.

u=5-8

Subtract 8 from 5.

u=-3

u=-3

Solve for u 5u+5(1-u)=u+8