Question 186904
# 1



{{{9(x+2)-3(x+3)=2(x-1)+7}}} Start with the given equation.



{{{9x+18-3x-9=2x-2+7}}} Distribute.



{{{6x+9=2x-2+7}}} Combine like terms on the left side.



{{{6x+9=2x+5}}} Combine like terms on the right side.



{{{6x=2x+5-9}}} Subtract {{{9}}} from both sides.



{{{6x-2x=5-9}}} Subtract {{{2x}}} from both sides.



{{{4x=5-9}}} Combine like terms on the left side.



{{{4x=-4}}} Combine like terms on the right side.



{{{x=(-4)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}.



{{{x=-1}}} Reduce.



----------------------------------------------------------------------


Answer:


So the answer is {{{x=-1}}} 



<hr>


# 2


{{{(4x+6)/9-(2x-6)/9=(12x+8)/12 -x}}} Start with the given equation.



{{{4(4x+6)-4(2x-6)=3(12x+8) -36x}}} Multiply EVERY term by the LCD 36 to clear the fractions.



{{{16x+24-8x+24=36x+24-36x}}} Distribute.



{{{8x+48=36x+24-36x}}} Combine like terms on the left side.



{{{8x+48=0x+24}}} Combine like terms on the right side.



{{{8x=0x+24-48}}} Subtract {{{48}}} from both sides.



{{{8x-0x=24-48}}} Subtract {{{0x}}} from both sides.



{{{8x=24-48}}} Combine like terms on the left side.



{{{8x=-24}}} Combine like terms on the right side.



{{{x=(-24)/(8)}}} Divide both sides by {{{8}}} to isolate {{{x}}}.



{{{x=-3}}} Reduce.



----------------------------------------------------------------------


Answer:


So the answer is {{{x=-3}}}