Question

How do you solve `-[ 4+ 2( x + 1) ] = 3( x + 1) + 3`?

Answer 1

`-12/5=x`

Explanation:

`−[4+2(x+1)]=3(x+1)+3`

Left side:

`−[4 color(red)(+2(x+1) ]]=3(x+1)+3`

`−[4color(blue)(+2x+2)]=3(x+1)+3`

`−[color(red)4+2xcolor(red)(+2)]=3(x+1)+3`

`−[2x color(blue)(+6)]=3(x+1)+3`

`color(red)(−1[2x +6])=3(x+1)+3`

`color(blue)(−2x -6)=3(x+1)+3`

Right side:

`−2x -6=3(x+1)+3`

`−2x -6=color(red)(3(x+1))+3`

`−2x -6=color(blue)(3x+3)+3`

`-2x -6=3xcolor(red)(+3+3)`

`-2x -6=3xcolor(blue)(+6)`

Both Sides:

`-2x(color(red)(-6-6))=3xcancel(color(red)(+6-6))`

`-2xcolor(blue)(-12)=3x`

`cancelcolor(red)(-2x+2x)-12=color(red)(3x+2x)`

`-12=color(blue)(5x)`

`color(red)(-12/5)=cancelcolor(red)(5/5)x`

`color(blue)(-12/5)=color(blue)x`

`-12/5=x`

I hope this helps