Question

4[2-5(w+3)]+2(w+1)=2[(5w+1)-(w+3)]

Answer 1

SOLUTION

GIVEN: 4[2-5(w+3)]+2(w+1)=2[(5w+1)-(w+3)]

REQUIRED: Solve for w

ANSWER:

Start by opening the brackets

4[2-5(w+3)]+2(w+1)=2[(5w+1)-(w+3)]

4[-3(w+3)]+2(w+1)=2[(5w+1)-(w+3)]

-12(w+3)]+2(w+1)=2[(5w+1)-(w+3)]

-12w -36 +2w +2 = 2[5w+1-w-3]

Collecting like terms on the left hand side

-12w +2w +2 -36 = 2[5w -w +1 - 3]

-10w -34 = 2[4w -2]

-10w - 34 = 8w -16

Collecting like terms

-10w - 8w = -16 + 34

-18w = 18

Dividing through by -18

$\frac{-18w}{-18}=\text{ }\frac{18}{-18}$

w = -1. This is the final answer