Question

Solve equations with variables on each side
3w+6=4w
a+18=7a
8c=5c+21

Answer 1

a) w=6

b) a=3

c) c=7

Explanation:

`3w+6=4w`

`\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}`

`3w+6-6=4w-6`

`\mathrm{Simplify}`

`3w=4w-6`

`\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}`

`3w-4w=4w-6-4w`

`\mathrm{Simplify}`

`-w=-6`

`\mathrm{Divide\:both\:sides\:by\:}-1`

`(-w)/(-1)=(-6)/(-1)`

`w=6`

___________________________________________

`a+18=7a`

`\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}`

`a+18-18=7a-18`

`\mathrm{Simplify}`

`a=7a-18`

`\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}`

`a-7a=7a-18-7a`

`\mathrm{Simplify}`

`-6a=-18`

`\mathrm{Divide\:both\:sides\:by\:}-6`

`(-6a)/(-6)=(-18)/(-6)`

`a=3`