Question

How do you evaluate `2[ 5( w + 3) - ( 1+ w ) ] = 3( w + 2)`?

Answer 1

w= -22/5#

Explanation:

`2[5(w+3)−(1+w)]=3(w+2)`

Starting by expanding the equation, using the rule:
`a(b+c)=ab+ac`

We get:
`10(w+3)-2(1+w)=3w+6`
`10w+30-2-2w=3w+6`

Then adding like terms on both sides of the equation:
`8w+28=3w+6`

Subtracting 28 from both sides of the equation:
`8w+28-28=3w+6-28`
`8w=3w-22`

Then subtracting 3w from both sides to isolate the unknown's term:
`8w-3w=3w-3w-22`
`5w=-22`

Dividing both sides of equation by 5 we get:
`5w/5=-22/5`
`rarr w= -22/5`