Question 85094
{{{4(x+1)-32=-18+-6x+4(2x+3)}}} Start with the given equation
{{{4x+4-32=-18-6x+8x+12)}}} Distribute
{{{4x-28=2x-6}}} Combine like terms

{{{4x-2x=-6--28}}} Get all like terms to one side

{{{2*x=22}}} Combine like terms

{{{x=22/2}}} Divide both sides by 2 to isolate x


So our answer is

{{{x=11}}}


Check:

{{{4(11+1)-32=-18+-6*11+4(2*11+3)}}} Plug in {{{x=11}}} and follow the order of operations

{{{4(12)-32=-18+-66+4(22+3)}}}

{{{4(12)-32=-18+-66+4(22+3)}}}

{{{48-32=-18+-66+88+12}}}

{{{16=16}}}