Question 79158
{{{2x + x + 1 = 2}}} start with the given problem


{{{3x + 1 = 2}}}  Combine like terms 2x and x to get 2x+x=3x


{{{3x + 1 - 1= 2 - 1}}}   Subtract 1 from both sides


{{{cross(3/3)x = 1/3}}}  Divide both sides by 3

So this is our answer

{{{x=1/3}}}


Check:

Plug in {{{x=1/3}}} to check

{{{2(1/3) + (1/3) + 1 = 2}}} plug 1/3 for x

{{{(2/3) + (1/3) + 1 = 2}}} multiply

{{{(2+1)/3 + 1 = 2}}} add the fractions

{{{(3)/3 + 1 = 2}}} Add the numerators

{{{1 + 1 = 2}}} reduce the fraction

{{{2= 2}}} works