Question 885016
 
Use the distributive property on the left hand side.
{{{a(x+2)=bx+a}}}
{{{ax+2a=bx+a}}}
Now move all unknown terms to the left hand side, known terms on the right hand side using multiplicative inverse and additive inverse as needed.
Subtract {{{bx}}} from both sides.
{{{ax-bx+2a=bx-bx+a}}}
{{{ax-bx+2a=a}}}
Subtract {{{2a}}} from both sides.
{{{ax-bx+2a-2a=a-2a}}}
{{{ax-bx=-a}}}
Use the distributive property on the left hand side.
{{{x(a-b)=-a}}}
Multiply both sides by the multiplicative inverse of {{{(a-b)}}}.
{{{x(a-b)*(1/(a-b))=-a/(a-b)}}}
{{{highlight(x=-a/(a-b))}}}