Question

3[x + 4(6 - x) + 24] - 11 = 61 - 12x

Answer 1

x = -24

Explanation:

`3[x+4(6-x)+24]-11=61-12x`

Expand:

`3(x+24-4x+24)-11=61-12x`

Simplify:

`3(-3x+48)-11=61-12x`

Expand again:

`-9x+144-11=61-12x`

Simplify:

`-9x+133=61-12x`

Subtract 133 from both sides:

`-9x=61-12x-133`

`-9x=-12x-72`

Add 12x to both sides:

`3x=-72`

Divide 3:

`x=-24`

Answer 2

-24

Explanation:

3(x+24-4x+24)-11=61-12x

3(-3x+48)-11=61-12x

-9x+144-11=61-12x

-9x+12x=61-144+11

3x=-72

divide both sides by 3

3x/3=-72/3

x=-24